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Finding the Third Proportional to 148,449.38 and 350,083.69

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Solution

The third proportional to 148,449.38 and 350,083.69 is: 825,591.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,449.38 : 350,083.69 = 350,083.69 : x
  2. Step 2: Convert to fraction form
    148,449.38/350,083.69 = 350,083.69/x
  3. Step 3: Cross multiply
    148,449.38x = 350,083.69 × 350,083.69
  4. Step 4: Simplify right side
    148,449.38x = 122,558,588,253.60
  5. Step 5: Solve for x
    x = 122,558,588,253.60/148,449.38
  6. Step 6: Final answer
    x = 825,591.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.