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Finding the Third Proportional to 148,749 and 226,613.25

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Solution

The third proportional to 148,749 and 226,613.25 is: 345,236.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,749 : 226,613.25 = 226,613.25 : x
  2. Step 2: Convert to fraction form
    148,749/226,613.25 = 226,613.25/x
  3. Step 3: Cross multiply
    148,749x = 226,613.25 × 226,613.25
  4. Step 4: Simplify right side
    148,749x = 51,353,565,075.56
  5. Step 5: Solve for x
    x = 51,353,565,075.56/148,749
  6. Step 6: Final answer
    x = 345,236.37

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.