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Finding the Third Proportional to 149,614.50 and 327,844.50

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Solution

The third proportional to 149,614.50 and 327,844.50 is: 718,393.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,614.50 : 327,844.50 = 327,844.50 : x
  2. Step 2: Convert to fraction form
    149,614.50/327,844.50 = 327,844.50/x
  3. Step 3: Cross multiply
    149,614.50x = 327,844.50 × 327,844.50
  4. Step 4: Simplify right side
    149,614.50x = 107,482,016,180.25
  5. Step 5: Solve for x
    x = 107,482,016,180.25/149,614.50
  6. Step 6: Final answer
    x = 718,393.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.