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Finding the Third Proportional to 148,557 and 324,330

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Solution

The third proportional to 148,557 and 324,330 is: 708,078.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,557 : 324,330 = 324,330 : x
  2. Step 2: Convert to fraction form
    148,557/324,330 = 324,330/x
  3. Step 3: Cross multiply
    148,557x = 324,330 × 324,330
  4. Step 4: Simplify right side
    148,557x = 105,189,948,900
  5. Step 5: Solve for x
    x = 105,189,948,900/148,557
  6. Step 6: Final answer
    x = 708,078.04

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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.