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Finding the Third Proportional to 238.13 and 522.66

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Solution

The third proportional to 238.13 and 522.66 is: 1,147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.13 : 522.66 = 522.66 : x
  2. Step 2: Convert to fraction form
    238.13/522.66 = 522.66/x
  3. Step 3: Cross multiply
    238.13x = 522.66 × 522.66
  4. Step 4: Simplify right side
    238.13x = 273,169.56
  5. Step 5: Solve for x
    x = 273,169.56/238.13
  6. Step 6: Final answer
    x = 1,147.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.