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Finding the Third Proportional to 152,694 and 224,481

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Solution

The third proportional to 152,694 and 224,481 is: 330,017.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,694 : 224,481 = 224,481 : x
  2. Step 2: Convert to fraction form
    152,694/224,481 = 224,481/x
  3. Step 3: Cross multiply
    152,694x = 224,481 × 224,481
  4. Step 4: Simplify right side
    152,694x = 50,391,719,361
  5. Step 5: Solve for x
    x = 50,391,719,361/152,694
  6. Step 6: Final answer
    x = 330,017.68

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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.