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Finding the Third Proportional to 148,804 and 226,686

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Solution

The third proportional to 148,804 and 226,686 is: 345,330.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,804 : 226,686 = 226,686 : x
  2. Step 2: Convert to fraction form
    148,804/226,686 = 226,686/x
  3. Step 3: Cross multiply
    148,804x = 226,686 × 226,686
  4. Step 4: Simplify right side
    148,804x = 51,386,542,596
  5. Step 5: Solve for x
    x = 51,386,542,596/148,804
  6. Step 6: Final answer
    x = 345,330.38

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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.