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Finding the Third Proportional to 83,353.50 and 179,739

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Solution

The third proportional to 83,353.50 and 179,739 is: 387,579.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,353.50 : 179,739 = 179,739 : x
  2. Step 2: Convert to fraction form
    83,353.50/179,739 = 179,739/x
  3. Step 3: Cross multiply
    83,353.50x = 179,739 × 179,739
  4. Step 4: Simplify right side
    83,353.50x = 32,306,108,121
  5. Step 5: Solve for x
    x = 32,306,108,121/83,353.50
  6. Step 6: Final answer
    x = 387,579.50

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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.