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Finding the Third Proportional to 174,750,288 and 291,215,560

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Solution

The third proportional to 174,750,288 and 291,215,560 is: 485,301,073.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,750,288 : 291,215,560 = 291,215,560 : x
  2. Step 2: Convert to fraction form
    174,750,288/291,215,560 = 291,215,560/x
  3. Step 3: Cross multiply
    174,750,288x = 291,215,560 × 291,215,560
  4. Step 4: Simplify right side
    174,750,288x = 84,806,502,386,113,600
  5. Step 5: Solve for x
    x = 84,806,502,386,113,600/174,750,288
  6. Step 6: Final answer
    x = 485,301,073.64

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.