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Finding the Third Proportional to 169,870 and 254,847

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Solution

The third proportional to 169,870 and 254,847 is: 382,333.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,870 : 254,847 = 254,847 : x
  2. Step 2: Convert to fraction form
    169,870/254,847 = 254,847/x
  3. Step 3: Cross multiply
    169,870x = 254,847 × 254,847
  4. Step 4: Simplify right side
    169,870x = 64,946,993,409
  5. Step 5: Solve for x
    x = 64,946,993,409/169,870
  6. Step 6: Final answer
    x = 382,333.51

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Why These Related Problems?

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