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Finding the Third Proportional to 658.13 and 1,157.06

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Solution

The third proportional to 658.13 and 1,157.06 is: 2,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.13 : 1,157.06 = 1,157.06 : x
  2. Step 2: Convert to fraction form
    658.13/1,157.06 = 1,157.06/x
  3. Step 3: Cross multiply
    658.13x = 1,157.06 × 1,157.06
  4. Step 4: Simplify right side
    658.13x = 1,338,793.63
  5. Step 5: Solve for x
    x = 1,338,793.63/658.13
  6. Step 6: Final answer
    x = 2,034.25

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.