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Finding the Third Proportional to 148,599 and 225,737

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Solution

The third proportional to 148,599 and 225,737 is: 342,917.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,599 : 225,737 = 225,737 : x
  2. Step 2: Convert to fraction form
    148,599/225,737 = 225,737/x
  3. Step 3: Cross multiply
    148,599x = 225,737 × 225,737
  4. Step 4: Simplify right side
    148,599x = 50,957,193,169
  5. Step 5: Solve for x
    x = 50,957,193,169/148,599
  6. Step 6: Final answer
    x = 342,917.47

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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.