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Finding the Third Proportional to 90.13 and 207.31

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Solution

The third proportional to 90.13 and 207.31 is: 476.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.13 : 207.31 = 207.31 : x
  2. Step 2: Convert to fraction form
    90.13/207.31 = 207.31/x
  3. Step 3: Cross multiply
    90.13x = 207.31 × 207.31
  4. Step 4: Simplify right side
    90.13x = 42,978.47
  5. Step 5: Solve for x
    x = 42,978.47/90.13
  6. Step 6: Final answer
    x = 476.88

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.