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Finding the Third Proportional to 137,970 and 285,822

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Solution

The third proportional to 137,970 and 285,822 is: 592,115.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,970 : 285,822 = 285,822 : x
  2. Step 2: Convert to fraction form
    137,970/285,822 = 285,822/x
  3. Step 3: Cross multiply
    137,970x = 285,822 × 285,822
  4. Step 4: Simplify right side
    137,970x = 81,694,215,684
  5. Step 5: Solve for x
    x = 81,694,215,684/137,970
  6. Step 6: Final answer
    x = 592,115.79

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.