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Finding the Third Proportional to 247 and 522.13

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Solution

The third proportional to 247 and 522.13 is: 1,103.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    247 : 522.13 = 522.13 : x
  2. Step 2: Convert to fraction form
    247/522.13 = 522.13/x
  3. Step 3: Cross multiply
    247x = 522.13 × 522.13
  4. Step 4: Simplify right side
    247x = 272,614.52
  5. Step 5: Solve for x
    x = 272,614.52/247
  6. Step 6: Final answer
    x = 1,103.70

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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.