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Finding the Third Proportional to 83,200.50 and 179,523

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Solution

The third proportional to 83,200.50 and 179,523 is: 387,359.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,200.50 : 179,523 = 179,523 : x
  2. Step 2: Convert to fraction form
    83,200.50/179,523 = 179,523/x
  3. Step 3: Cross multiply
    83,200.50x = 179,523 × 179,523
  4. Step 4: Simplify right side
    83,200.50x = 32,228,507,529
  5. Step 5: Solve for x
    x = 32,228,507,529/83,200.50
  6. Step 6: Final answer
    x = 387,359.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.