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Finding the Third Proportional to 115.01 and 248.22

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Solution

The third proportional to 115.01 and 248.22 is: 535.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.01 : 248.22 = 248.22 : x
  2. Step 2: Convert to fraction form
    115.01/248.22 = 248.22/x
  3. Step 3: Cross multiply
    115.01x = 248.22 × 248.22
  4. Step 4: Simplify right side
    115.01x = 61,613.52
  5. Step 5: Solve for x
    x = 61,613.52/115.01
  6. Step 6: Final answer
    x = 535.71

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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.