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Finding the Third Proportional to 148,876.50 and 324,521

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Solution

The third proportional to 148,876.50 and 324,521 is: 707,390.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,876.50 : 324,521 = 324,521 : x
  2. Step 2: Convert to fraction form
    148,876.50/324,521 = 324,521/x
  3. Step 3: Cross multiply
    148,876.50x = 324,521 × 324,521
  4. Step 4: Simplify right side
    148,876.50x = 105,313,879,441
  5. Step 5: Solve for x
    x = 105,313,879,441/148,876.50
  6. Step 6: Final answer
    x = 707,390.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.