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Finding the Third Proportional to 169,739 and 372,094

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Solution

The third proportional to 169,739 and 372,094 is: 815,687.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,739 : 372,094 = 372,094 : x
  2. Step 2: Convert to fraction form
    169,739/372,094 = 372,094/x
  3. Step 3: Cross multiply
    169,739x = 372,094 × 372,094
  4. Step 4: Simplify right side
    169,739x = 138,453,944,836
  5. Step 5: Solve for x
    x = 138,453,944,836/169,739
  6. Step 6: Final answer
    x = 815,687.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.