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Finding the Third Proportional to 148,945.50 and 324,135

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Solution

The third proportional to 148,945.50 and 324,135 is: 705,382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,945.50 : 324,135 = 324,135 : x
  2. Step 2: Convert to fraction form
    148,945.50/324,135 = 324,135/x
  3. Step 3: Cross multiply
    148,945.50x = 324,135 × 324,135
  4. Step 4: Simplify right side
    148,945.50x = 105,063,498,225
  5. Step 5: Solve for x
    x = 105,063,498,225/148,945.50
  6. Step 6: Final answer
    x = 705,382.16

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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.