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Finding the Third Proportional to 168,285.09 and 363,543.19

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Solution

The third proportional to 168,285.09 and 363,543.19 is: 785,355.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,285.09 : 363,543.19 = 363,543.19 : x
  2. Step 2: Convert to fraction form
    168,285.09/363,543.19 = 363,543.19/x
  3. Step 3: Cross multiply
    168,285.09x = 363,543.19 × 363,543.19
  4. Step 4: Simplify right side
    168,285.09x = 132,163,649,177.66
  5. Step 5: Solve for x
    x = 132,163,649,177.66/168,285.09
  6. Step 6: Final answer
    x = 785,355.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.