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Finding the Third Proportional to 169,219.13 and 367,615.97

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Solution

The third proportional to 169,219.13 and 367,615.97 is: 798,618.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,219.13 : 367,615.97 = 367,615.97 : x
  2. Step 2: Convert to fraction form
    169,219.13/367,615.97 = 367,615.97/x
  3. Step 3: Cross multiply
    169,219.13x = 367,615.97 × 367,615.97
  4. Step 4: Simplify right side
    169,219.13x = 135,141,500,480.00
  5. Step 5: Solve for x
    x = 135,141,500,480.00/169,219.13
  6. Step 6: Final answer
    x = 798,618.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.