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Finding the Third Proportional to 116,606 and 251,048

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Solution

The third proportional to 116,606 and 251,048 is: 540,496.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,606 : 251,048 = 251,048 : x
  2. Step 2: Convert to fraction form
    116,606/251,048 = 251,048/x
  3. Step 3: Cross multiply
    116,606x = 251,048 × 251,048
  4. Step 4: Simplify right side
    116,606x = 63,025,098,304
  5. Step 5: Solve for x
    x = 63,025,098,304/116,606
  6. Step 6: Final answer
    x = 540,496.19

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.