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Finding the Third Proportional to 116.02 and 250.17

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Solution

The third proportional to 116.02 and 250.17 is: 539.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.02 : 250.17 = 250.17 : x
  2. Step 2: Convert to fraction form
    116.02/250.17 = 250.17/x
  3. Step 3: Cross multiply
    116.02x = 250.17 × 250.17
  4. Step 4: Simplify right side
    116.02x = 62,585.97
  5. Step 5: Solve for x
    x = 62,585.97/116.02
  6. Step 6: Final answer
    x = 539.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.