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Finding the Third Proportional to 150,559.50 and 327,367.50

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Solution

The third proportional to 150,559.50 and 327,367.50 is: 711,808.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,559.50 : 327,367.50 = 327,367.50 : x
  2. Step 2: Convert to fraction form
    150,559.50/327,367.50 = 327,367.50/x
  3. Step 3: Cross multiply
    150,559.50x = 327,367.50 × 327,367.50
  4. Step 4: Simplify right side
    150,559.50x = 107,169,480,056.25
  5. Step 5: Solve for x
    x = 107,169,480,056.25/150,559.50
  6. Step 6: Final answer
    x = 711,808.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.