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Finding the Third Proportional to 83,394 and 179,453.25

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Solution

The third proportional to 83,394 and 179,453.25 is: 386,160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,394 : 179,453.25 = 179,453.25 : x
  2. Step 2: Convert to fraction form
    83,394/179,453.25 = 179,453.25/x
  3. Step 3: Cross multiply
    83,394x = 179,453.25 × 179,453.25
  4. Step 4: Simplify right side
    83,394x = 32,203,468,935.56
  5. Step 5: Solve for x
    x = 32,203,468,935.56/83,394
  6. Step 6: Final answer
    x = 386,160.50

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