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Finding the Third Proportional to 131,472 and 287,822

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Solution

The third proportional to 131,472 and 287,822 is: 630,107.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,472 : 287,822 = 287,822 : x
  2. Step 2: Convert to fraction form
    131,472/287,822 = 287,822/x
  3. Step 3: Cross multiply
    131,472x = 287,822 × 287,822
  4. Step 4: Simplify right side
    131,472x = 82,841,503,684
  5. Step 5: Solve for x
    x = 82,841,503,684/131,472
  6. Step 6: Final answer
    x = 630,107.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.