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Finding the Third Proportional to 148,764 and 226,632

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Solution

The third proportional to 148,764 and 226,632 is: 345,258.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,764 : 226,632 = 226,632 : x
  2. Step 2: Convert to fraction form
    148,764/226,632 = 226,632/x
  3. Step 3: Cross multiply
    148,764x = 226,632 × 226,632
  4. Step 4: Simplify right side
    148,764x = 51,362,063,424
  5. Step 5: Solve for x
    x = 51,362,063,424/148,764
  6. Step 6: Final answer
    x = 345,258.69

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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.