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Finding the Third Proportional to 237.91 and 527.09

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Solution

The third proportional to 237.91 and 527.09 is: 1,167.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.91 : 527.09 = 527.09 : x
  2. Step 2: Convert to fraction form
    237.91/527.09 = 527.09/x
  3. Step 3: Cross multiply
    237.91x = 527.09 × 527.09
  4. Step 4: Simplify right side
    237.91x = 277,827.82
  5. Step 5: Solve for x
    x = 277,827.82/237.91
  6. Step 6: Final answer
    x = 1,167.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.