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Finding the Third Proportional to 168,027.75 and 266,191.31

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Solution

The third proportional to 168,027.75 and 266,191.31 is: 421,703.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,027.75 : 266,191.31 = 266,191.31 : x
  2. Step 2: Convert to fraction form
    168,027.75/266,191.31 = 266,191.31/x
  3. Step 3: Cross multiply
    168,027.75x = 266,191.31 × 266,191.31
  4. Step 4: Simplify right side
    168,027.75x = 70,857,814,850.47
  5. Step 5: Solve for x
    x = 70,857,814,850.47/168,027.75
  6. Step 6: Final answer
    x = 421,703.05

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.