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Finding the Third Proportional to 148,908.38 and 324,060.75

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Solution

The third proportional to 148,908.38 and 324,060.75 is: 705,234.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,908.38 : 324,060.75 = 324,060.75 : x
  2. Step 2: Convert to fraction form
    148,908.38/324,060.75 = 324,060.75/x
  3. Step 3: Cross multiply
    148,908.38x = 324,060.75 × 324,060.75
  4. Step 4: Simplify right side
    148,908.38x = 105,015,369,690.56
  5. Step 5: Solve for x
    x = 105,015,369,690.56/148,908.38
  6. Step 6: Final answer
    x = 705,234.81

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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.