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Finding the Third Proportional to 237.88 and 501.13

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Solution

The third proportional to 237.88 and 501.13 is: 1,055.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.88 : 501.13 = 501.13 : x
  2. Step 2: Convert to fraction form
    237.88/501.13 = 501.13/x
  3. Step 3: Cross multiply
    237.88x = 501.13 × 501.13
  4. Step 4: Simplify right side
    237.88x = 251,126.27
  5. Step 5: Solve for x
    x = 251,126.27/237.88
  6. Step 6: Final answer
    x = 1,055.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.