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Finding the Third Proportional to 207,524 and 316,470

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Solution

The third proportional to 207,524 and 316,470 is: 482,610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,524 : 316,470 = 316,470 : x
  2. Step 2: Convert to fraction form
    207,524/316,470 = 316,470/x
  3. Step 3: Cross multiply
    207,524x = 316,470 × 316,470
  4. Step 4: Simplify right side
    207,524x = 100,153,260,900
  5. Step 5: Solve for x
    x = 100,153,260,900/207,524
  6. Step 6: Final answer
    x = 482,610.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.