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Finding the Third Proportional to 169,771 and 254,677

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Solution

The third proportional to 169,771 and 254,677 is: 382,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,771 : 254,677 = 254,677 : x
  2. Step 2: Convert to fraction form
    169,771/254,677 = 254,677/x
  3. Step 3: Cross multiply
    169,771x = 254,677 × 254,677
  4. Step 4: Simplify right side
    169,771x = 64,860,374,329
  5. Step 5: Solve for x
    x = 64,860,374,329/169,771
  6. Step 6: Final answer
    x = 382,046.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.