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Finding the Third Proportional to 151,690.50 and 327,033.75

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Solution

The third proportional to 151,690.50 and 327,033.75 is: 705,061.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,690.50 : 327,033.75 = 327,033.75 : x
  2. Step 2: Convert to fraction form
    151,690.50/327,033.75 = 327,033.75/x
  3. Step 3: Cross multiply
    151,690.50x = 327,033.75 × 327,033.75
  4. Step 4: Simplify right side
    151,690.50x = 106,951,073,639.06
  5. Step 5: Solve for x
    x = 106,951,073,639.06/151,690.50
  6. Step 6: Final answer
    x = 705,061.12

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Why These Related Problems?

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