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Finding the Third Proportional to 152,637 and 224,382

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Solution

The third proportional to 152,637 and 224,382 is: 329,849.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,637 : 224,382 = 224,382 : x
  2. Step 2: Convert to fraction form
    152,637/224,382 = 224,382/x
  3. Step 3: Cross multiply
    152,637x = 224,382 × 224,382
  4. Step 4: Simplify right side
    152,637x = 50,347,281,924
  5. Step 5: Solve for x
    x = 50,347,281,924/152,637
  6. Step 6: Final answer
    x = 329,849.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.