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Finding the Third Proportional to 148,048 and 225,753

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Solution

The third proportional to 148,048 and 225,753 is: 344,242.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,048 : 225,753 = 225,753 : x
  2. Step 2: Convert to fraction form
    148,048/225,753 = 225,753/x
  3. Step 3: Cross multiply
    148,048x = 225,753 × 225,753
  4. Step 4: Simplify right side
    148,048x = 50,964,417,009
  5. Step 5: Solve for x
    x = 50,964,417,009/148,048
  6. Step 6: Final answer
    x = 344,242.52

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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.