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Finding the Third Proportional to 169,872 and 254,850

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Solution

The third proportional to 169,872 and 254,850 is: 382,338.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,872 : 254,850 = 254,850 : x
  2. Step 2: Convert to fraction form
    169,872/254,850 = 254,850/x
  3. Step 3: Cross multiply
    169,872x = 254,850 × 254,850
  4. Step 4: Simplify right side
    169,872x = 64,948,522,500
  5. Step 5: Solve for x
    x = 64,948,522,500/169,872
  6. Step 6: Final answer
    x = 382,338.01

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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.