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Finding the Third Proportional to 148,866 and 226,782

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Solution

The third proportional to 148,866 and 226,782 is: 345,478.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,866 : 226,782 = 226,782 : x
  2. Step 2: Convert to fraction form
    148,866/226,782 = 226,782/x
  3. Step 3: Cross multiply
    148,866x = 226,782 × 226,782
  4. Step 4: Simplify right side
    148,866x = 51,430,075,524
  5. Step 5: Solve for x
    x = 51,430,075,524/148,866
  6. Step 6: Final answer
    x = 345,478.99

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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.