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Finding the Third Proportional to 169,367.20 and 368,258.91

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Solution

The third proportional to 169,367.20 and 368,258.91 is: 800,713.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,367.20 : 368,258.91 = 368,258.91 : x
  2. Step 2: Convert to fraction form
    169,367.20/368,258.91 = 368,258.91/x
  3. Step 3: Cross multiply
    169,367.20x = 368,258.91 × 368,258.91
  4. Step 4: Simplify right side
    169,367.20x = 135,614,622,032.45
  5. Step 5: Solve for x
    x = 135,614,622,032.45/169,367.20
  6. Step 6: Final answer
    x = 800,713.59

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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.