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Finding the Third Proportional to 247,376 and 357,344

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Solution

The third proportional to 247,376 and 357,344 is: 516,196.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,376 : 357,344 = 357,344 : x
  2. Step 2: Convert to fraction form
    247,376/357,344 = 357,344/x
  3. Step 3: Cross multiply
    247,376x = 357,344 × 357,344
  4. Step 4: Simplify right side
    247,376x = 127,694,734,336
  5. Step 5: Solve for x
    x = 127,694,734,336/247,376
  6. Step 6: Final answer
    x = 516,196.94

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.