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Finding the Third Proportional to 997.13 and 1,129.13

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Solution

The third proportional to 997.13 and 1,129.13 is: 1,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.13 : 1,129.13 = 1,129.13 : x
  2. Step 2: Convert to fraction form
    997.13/1,129.13 = 1,129.13/x
  3. Step 3: Cross multiply
    997.13x = 1,129.13 × 1,129.13
  4. Step 4: Simplify right side
    997.13x = 1,274,923.27
  5. Step 5: Solve for x
    x = 1,274,923.27/997.13
  6. Step 6: Final answer
    x = 1,278.60

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.