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Finding the Third Proportional to 126,839.50 and 273,301.50

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Solution

The third proportional to 126,839.50 and 273,301.50 is: 588,883.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,839.50 : 273,301.50 = 273,301.50 : x
  2. Step 2: Convert to fraction form
    126,839.50/273,301.50 = 273,301.50/x
  3. Step 3: Cross multiply
    126,839.50x = 273,301.50 × 273,301.50
  4. Step 4: Simplify right side
    126,839.50x = 74,693,709,902.25
  5. Step 5: Solve for x
    x = 74,693,709,902.25/126,839.50
  6. Step 6: Final answer
    x = 588,883.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.