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Finding the Third Proportional to 100.44 and 232.47

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Solution

The third proportional to 100.44 and 232.47 is: 538.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.44 : 232.47 = 232.47 : x
  2. Step 2: Convert to fraction form
    100.44/232.47 = 232.47/x
  3. Step 3: Cross multiply
    100.44x = 232.47 × 232.47
  4. Step 4: Simplify right side
    100.44x = 54,041.72
  5. Step 5: Solve for x
    x = 54,041.72/100.44
  6. Step 6: Final answer
    x = 538.06

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.