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Finding the Third Proportional to 137,382 and 217,952

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Solution

The third proportional to 137,382 and 217,952 is: 345,773.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,382 : 217,952 = 217,952 : x
  2. Step 2: Convert to fraction form
    137,382/217,952 = 217,952/x
  3. Step 3: Cross multiply
    137,382x = 217,952 × 217,952
  4. Step 4: Simplify right side
    137,382x = 47,503,074,304
  5. Step 5: Solve for x
    x = 47,503,074,304/137,382
  6. Step 6: Final answer
    x = 345,773.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.