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Finding the Third Proportional to 126,333.56 and 273,690.56

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Solution

The third proportional to 126,333.56 and 273,690.56 is: 592,926.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,333.56 : 273,690.56 = 273,690.56 : x
  2. Step 2: Convert to fraction form
    126,333.56/273,690.56 = 273,690.56/x
  3. Step 3: Cross multiply
    126,333.56x = 273,690.56 × 273,690.56
  4. Step 4: Simplify right side
    126,333.56x = 74,906,524,001.57
  5. Step 5: Solve for x
    x = 74,906,524,001.57/126,333.56
  6. Step 6: Final answer
    x = 592,926.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.