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Finding the Third Proportional to 83,262.38 and 179,842.50

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Solution

The third proportional to 83,262.38 and 179,842.50 is: 388,450.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,262.38 : 179,842.50 = 179,842.50 : x
  2. Step 2: Convert to fraction form
    83,262.38/179,842.50 = 179,842.50/x
  3. Step 3: Cross multiply
    83,262.38x = 179,842.50 × 179,842.50
  4. Step 4: Simplify right side
    83,262.38x = 32,343,324,806.25
  5. Step 5: Solve for x
    x = 32,343,324,806.25/83,262.38
  6. Step 6: Final answer
    x = 388,450.66

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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.