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Finding the Third Proportional to 115.08 and 251.11

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Solution

The third proportional to 115.08 and 251.11 is: 547.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.08 : 251.11 = 251.11 : x
  2. Step 2: Convert to fraction form
    115.08/251.11 = 251.11/x
  3. Step 3: Cross multiply
    115.08x = 251.11 × 251.11
  4. Step 4: Simplify right side
    115.08x = 63,055.92
  5. Step 5: Solve for x
    x = 63,055.92/115.08
  6. Step 6: Final answer
    x = 547.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.