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Finding the Third Proportional to 148,249.69 and 323,332.31

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Solution

The third proportional to 148,249.69 and 323,332.31 is: 705,187.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,249.69 : 323,332.31 = 323,332.31 : x
  2. Step 2: Convert to fraction form
    148,249.69/323,332.31 = 323,332.31/x
  3. Step 3: Cross multiply
    148,249.69x = 323,332.31 × 323,332.31
  4. Step 4: Simplify right side
    148,249.69x = 104,543,784,306.60
  5. Step 5: Solve for x
    x = 104,543,784,306.60/148,249.69
  6. Step 6: Final answer
    x = 705,187.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.