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Finding the Third Proportional to 174,981 and 367,584

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Solution

The third proportional to 174,981 and 367,584 is: 772,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,981 : 367,584 = 367,584 : x
  2. Step 2: Convert to fraction form
    174,981/367,584 = 367,584/x
  3. Step 3: Cross multiply
    174,981x = 367,584 × 367,584
  4. Step 4: Simplify right side
    174,981x = 135,117,997,056
  5. Step 5: Solve for x
    x = 135,117,997,056/174,981
  6. Step 6: Final answer
    x = 772,186.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.