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Finding the Third Proportional to 142,336 and 329,472

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Solution

The third proportional to 142,336 and 329,472 is: 762,644.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,336 : 329,472 = 329,472 : x
  2. Step 2: Convert to fraction form
    142,336/329,472 = 329,472/x
  3. Step 3: Cross multiply
    142,336x = 329,472 × 329,472
  4. Step 4: Simplify right side
    142,336x = 108,551,798,784
  5. Step 5: Solve for x
    x = 108,551,798,784/142,336
  6. Step 6: Final answer
    x = 762,644.72

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.