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Finding the Third Proportional to 151,764 and 327,844.50

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Solution

The third proportional to 151,764 and 327,844.50 is: 708,218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,764 : 327,844.50 = 327,844.50 : x
  2. Step 2: Convert to fraction form
    151,764/327,844.50 = 327,844.50/x
  3. Step 3: Cross multiply
    151,764x = 327,844.50 × 327,844.50
  4. Step 4: Simplify right side
    151,764x = 107,482,016,180.25
  5. Step 5: Solve for x
    x = 107,482,016,180.25/151,764
  6. Step 6: Final answer
    x = 708,218.13

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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.