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Finding the Third Proportional to 114.56 and 250.97

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Solution

The third proportional to 114.56 and 250.97 is: 549.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.56 : 250.97 = 250.97 : x
  2. Step 2: Convert to fraction form
    114.56/250.97 = 250.97/x
  3. Step 3: Cross multiply
    114.56x = 250.97 × 250.97
  4. Step 4: Simplify right side
    114.56x = 62,985.31
  5. Step 5: Solve for x
    x = 62,985.31/114.56
  6. Step 6: Final answer
    x = 549.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.