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Finding the Third Proportional to 148,812.94 and 327,150.38

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Solution

The third proportional to 148,812.94 and 327,150.38 is: 719,207.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,812.94 : 327,150.38 = 327,150.38 : x
  2. Step 2: Convert to fraction form
    148,812.94/327,150.38 = 327,150.38/x
  3. Step 3: Cross multiply
    148,812.94x = 327,150.38 × 327,150.38
  4. Step 4: Simplify right side
    148,812.94x = 107,027,367,862.64
  5. Step 5: Solve for x
    x = 107,027,367,862.64/148,812.94
  6. Step 6: Final answer
    x = 719,207.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.