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Finding the Third Proportional to 157.13 and 209.91

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Solution

The third proportional to 157.13 and 209.91 is: 280.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.13 : 209.91 = 209.91 : x
  2. Step 2: Convert to fraction form
    157.13/209.91 = 209.91/x
  3. Step 3: Cross multiply
    157.13x = 209.91 × 209.91
  4. Step 4: Simplify right side
    157.13x = 44,060.63
  5. Step 5: Solve for x
    x = 44,060.63/157.13
  6. Step 6: Final answer
    x = 280.42

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.