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Finding the Third Proportional to 168,292.13 and 360,229.13

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Solution

The third proportional to 168,292.13 and 360,229.13 is: 771,070.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,292.13 : 360,229.13 = 360,229.13 : x
  2. Step 2: Convert to fraction form
    168,292.13/360,229.13 = 360,229.13/x
  3. Step 3: Cross multiply
    168,292.13x = 360,229.13 × 360,229.13
  4. Step 4: Simplify right side
    168,292.13x = 129,765,022,498.27
  5. Step 5: Solve for x
    x = 129,765,022,498.27/168,292.13
  6. Step 6: Final answer
    x = 771,070.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.