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Finding the Third Proportional to 148,014 and 225,705

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Solution

The third proportional to 148,014 and 225,705 is: 344,175.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,014 : 225,705 = 225,705 : x
  2. Step 2: Convert to fraction form
    148,014/225,705 = 225,705/x
  3. Step 3: Cross multiply
    148,014x = 225,705 × 225,705
  4. Step 4: Simplify right side
    148,014x = 50,942,747,025
  5. Step 5: Solve for x
    x = 50,942,747,025/148,014
  6. Step 6: Final answer
    x = 344,175.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.