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Finding the Third Proportional to 148,481.25 and 325,023

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Solution

The third proportional to 148,481.25 and 325,023 is: 711,469.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,481.25 : 325,023 = 325,023 : x
  2. Step 2: Convert to fraction form
    148,481.25/325,023 = 325,023/x
  3. Step 3: Cross multiply
    148,481.25x = 325,023 × 325,023
  4. Step 4: Simplify right side
    148,481.25x = 105,639,950,529
  5. Step 5: Solve for x
    x = 105,639,950,529/148,481.25
  6. Step 6: Final answer
    x = 711,469.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.