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Finding the Third Proportional to 148,932 and 324,126

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Solution

The third proportional to 148,932 and 324,126 is: 705,406.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,932 : 324,126 = 324,126 : x
  2. Step 2: Convert to fraction form
    148,932/324,126 = 324,126/x
  3. Step 3: Cross multiply
    148,932x = 324,126 × 324,126
  4. Step 4: Simplify right side
    148,932x = 105,057,663,876
  5. Step 5: Solve for x
    x = 105,057,663,876/148,932
  6. Step 6: Final answer
    x = 705,406.92

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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.