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Finding the Third Proportional to 148,357 and 329,883

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Solution

The third proportional to 148,357 and 329,883 is: 733,519.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,357 : 329,883 = 329,883 : x
  2. Step 2: Convert to fraction form
    148,357/329,883 = 329,883/x
  3. Step 3: Cross multiply
    148,357x = 329,883 × 329,883
  4. Step 4: Simplify right side
    148,357x = 108,822,793,689
  5. Step 5: Solve for x
    x = 108,822,793,689/148,357
  6. Step 6: Final answer
    x = 733,519.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.