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Finding the Third Proportional to 148,917 and 324,597

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Solution

The third proportional to 148,917 and 324,597 is: 707,529.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,917 : 324,597 = 324,597 : x
  2. Step 2: Convert to fraction form
    148,917/324,597 = 324,597/x
  3. Step 3: Cross multiply
    148,917x = 324,597 × 324,597
  4. Step 4: Simplify right side
    148,917x = 105,363,212,409
  5. Step 5: Solve for x
    x = 105,363,212,409/148,917
  6. Step 6: Final answer
    x = 707,529.78

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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.