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Finding the Third Proportional to 266.91 and 637.31

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Solution

The third proportional to 266.91 and 637.31 is: 1,521.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.91 : 637.31 = 637.31 : x
  2. Step 2: Convert to fraction form
    266.91/637.31 = 637.31/x
  3. Step 3: Cross multiply
    266.91x = 637.31 × 637.31
  4. Step 4: Simplify right side
    266.91x = 406,167.22
  5. Step 5: Solve for x
    x = 406,167.22/266.91
  6. Step 6: Final answer
    x = 1,521.76

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.