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Finding the Third Proportional to 169,769 and 254,674

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Solution

The third proportional to 169,769 and 254,674 is: 382,041.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,769 : 254,674 = 254,674 : x
  2. Step 2: Convert to fraction form
    169,769/254,674 = 254,674/x
  3. Step 3: Cross multiply
    169,769x = 254,674 × 254,674
  4. Step 4: Simplify right side
    169,769x = 64,858,846,276
  5. Step 5: Solve for x
    x = 64,858,846,276/169,769
  6. Step 6: Final answer
    x = 382,041.75

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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.