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Finding the Third Proportional to 148,889 and 324,549

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Solution

The third proportional to 148,889 and 324,549 is: 707,453.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,889 : 324,549 = 324,549 : x
  2. Step 2: Convert to fraction form
    148,889/324,549 = 324,549/x
  3. Step 3: Cross multiply
    148,889x = 324,549 × 324,549
  4. Step 4: Simplify right side
    148,889x = 105,332,053,401
  5. Step 5: Solve for x
    x = 105,332,053,401/148,889
  6. Step 6: Final answer
    x = 707,453.56

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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.