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Finding the Third Proportional to 126,822.38 and 299,922.75

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Solution

The third proportional to 126,822.38 and 299,922.75 is: 709,288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,822.38 : 299,922.75 = 299,922.75 : x
  2. Step 2: Convert to fraction form
    126,822.38/299,922.75 = 299,922.75/x
  3. Step 3: Cross multiply
    126,822.38x = 299,922.75 × 299,922.75
  4. Step 4: Simplify right side
    126,822.38x = 89,953,655,967.56
  5. Step 5: Solve for x
    x = 89,953,655,967.56/126,822.38
  6. Step 6: Final answer
    x = 709,288.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.