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Finding the Third Proportional to 111.13 and 242.31

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Solution

The third proportional to 111.13 and 242.31 is: 528.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.13 : 242.31 = 242.31 : x
  2. Step 2: Convert to fraction form
    111.13/242.31 = 242.31/x
  3. Step 3: Cross multiply
    111.13x = 242.31 × 242.31
  4. Step 4: Simplify right side
    111.13x = 58,715.35
  5. Step 5: Solve for x
    x = 58,715.35/111.13
  6. Step 6: Final answer
    x = 528.37

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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.