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Finding the Third Proportional to 183,364 and 291,768

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Solution

The third proportional to 183,364 and 291,768 is: 464,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,364 : 291,768 = 291,768 : x
  2. Step 2: Convert to fraction form
    183,364/291,768 = 291,768/x
  3. Step 3: Cross multiply
    183,364x = 291,768 × 291,768
  4. Step 4: Simplify right side
    183,364x = 85,128,565,824
  5. Step 5: Solve for x
    x = 85,128,565,824/183,364
  6. Step 6: Final answer
    x = 464,259.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.