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Finding the Third Proportional to 150,084.75 and 327,870.75

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Solution

The third proportional to 150,084.75 and 327,870.75 is: 716,256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,084.75 : 327,870.75 = 327,870.75 : x
  2. Step 2: Convert to fraction form
    150,084.75/327,870.75 = 327,870.75/x
  3. Step 3: Cross multiply
    150,084.75x = 327,870.75 × 327,870.75
  4. Step 4: Simplify right side
    150,084.75x = 107,499,228,705.56
  5. Step 5: Solve for x
    x = 107,499,228,705.56/150,084.75
  6. Step 6: Final answer
    x = 716,256.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.