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Finding the Third Proportional to 148,116.38 and 324,358.88

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Solution

The third proportional to 148,116.38 and 324,358.88 is: 710,310.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,116.38 : 324,358.88 = 324,358.88 : x
  2. Step 2: Convert to fraction form
    148,116.38/324,358.88 = 324,358.88/x
  3. Step 3: Cross multiply
    148,116.38x = 324,358.88 × 324,358.88
  4. Step 4: Simplify right side
    148,116.38x = 105,208,679,791.27
  5. Step 5: Solve for x
    x = 105,208,679,791.27/148,116.38
  6. Step 6: Final answer
    x = 710,310.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.