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Finding the Third Proportional to 169,411 and 225,850

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Solution

The third proportional to 169,411 and 225,850 is: 301,091.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,411 : 225,850 = 225,850 : x
  2. Step 2: Convert to fraction form
    169,411/225,850 = 225,850/x
  3. Step 3: Cross multiply
    169,411x = 225,850 × 225,850
  4. Step 4: Simplify right side
    169,411x = 51,008,222,500
  5. Step 5: Solve for x
    x = 51,008,222,500/169,411
  6. Step 6: Final answer
    x = 301,091.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.