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Finding the Third Proportional to 151,899 and 327,169.50

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Solution

The third proportional to 151,899 and 327,169.50 is: 704,677.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,899 : 327,169.50 = 327,169.50 : x
  2. Step 2: Convert to fraction form
    151,899/327,169.50 = 327,169.50/x
  3. Step 3: Cross multiply
    151,899x = 327,169.50 × 327,169.50
  4. Step 4: Simplify right side
    151,899x = 107,039,881,730.25
  5. Step 5: Solve for x
    x = 107,039,881,730.25/151,899
  6. Step 6: Final answer
    x = 704,677.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.