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Finding the Third Proportional to 148,380 and 329,928

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Solution

The third proportional to 148,380 and 329,928 is: 733,606.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,380 : 329,928 = 329,928 : x
  2. Step 2: Convert to fraction form
    148,380/329,928 = 329,928/x
  3. Step 3: Cross multiply
    148,380x = 329,928 × 329,928
  4. Step 4: Simplify right side
    148,380x = 108,852,485,184
  5. Step 5: Solve for x
    x = 108,852,485,184/148,380
  6. Step 6: Final answer
    x = 733,606.18

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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.