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Finding the Third Proportional to 148,209.75 and 329,578.88

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Solution

The third proportional to 148,209.75 and 329,578.88 is: 732,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,209.75 : 329,578.88 = 329,578.88 : x
  2. Step 2: Convert to fraction form
    148,209.75/329,578.88 = 329,578.88/x
  3. Step 3: Cross multiply
    148,209.75x = 329,578.88 × 329,578.88
  4. Step 4: Simplify right side
    148,209.75x = 108,622,234,846.27
  5. Step 5: Solve for x
    x = 108,622,234,846.27/148,209.75
  6. Step 6: Final answer
    x = 732,895.34

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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.