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Finding the Third Proportional to 115.13 and 247.25

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Solution

The third proportional to 115.13 and 247.25 is: 531.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.13 : 247.25 = 247.25 : x
  2. Step 2: Convert to fraction form
    115.13/247.25 = 247.25/x
  3. Step 3: Cross multiply
    115.13x = 247.25 × 247.25
  4. Step 4: Simplify right side
    115.13x = 61,132.56
  5. Step 5: Solve for x
    x = 61,132.56/115.13
  6. Step 6: Final answer
    x = 531.01

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Why These Related Problems?

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