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Finding the Third Proportional to 168,285.09 and 360,217.13

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Solution

The third proportional to 168,285.09 and 360,217.13 is: 771,050.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,285.09 : 360,217.13 = 360,217.13 : x
  2. Step 2: Convert to fraction form
    168,285.09/360,217.13 = 360,217.13/x
  3. Step 3: Cross multiply
    168,285.09x = 360,217.13 × 360,217.13
  4. Step 4: Simplify right side
    168,285.09x = 129,756,377,143.27
  5. Step 5: Solve for x
    x = 129,756,377,143.27/168,285.09
  6. Step 6: Final answer
    x = 771,050.92

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