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Finding the Third Proportional to 116.86 and 250.59

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Solution

The third proportional to 116.86 and 250.59 is: 537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.86 : 250.59 = 250.59 : x
  2. Step 2: Convert to fraction form
    116.86/250.59 = 250.59/x
  3. Step 3: Cross multiply
    116.86x = 250.59 × 250.59
  4. Step 4: Simplify right side
    116.86x = 62,797.23
  5. Step 5: Solve for x
    x = 62,797.23/116.86
  6. Step 6: Final answer
    x = 537.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.