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Finding the Third Proportional to 83,270.75 and 178,439.50

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Solution

The third proportional to 83,270.75 and 178,439.50 is: 382,375.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,270.75 : 178,439.50 = 178,439.50 : x
  2. Step 2: Convert to fraction form
    83,270.75/178,439.50 = 178,439.50/x
  3. Step 3: Cross multiply
    83,270.75x = 178,439.50 × 178,439.50
  4. Step 4: Simplify right side
    83,270.75x = 31,840,655,160.25
  5. Step 5: Solve for x
    x = 31,840,655,160.25/83,270.75
  6. Step 6: Final answer
    x = 382,375.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.