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Finding the Third Proportional to 150,619.50 and 327,478.50

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Solution

The third proportional to 150,619.50 and 327,478.50 is: 712,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,619.50 : 327,478.50 = 327,478.50 : x
  2. Step 2: Convert to fraction form
    150,619.50/327,478.50 = 327,478.50/x
  3. Step 3: Cross multiply
    150,619.50x = 327,478.50 × 327,478.50
  4. Step 4: Simplify right side
    150,619.50x = 107,242,167,962.25
  5. Step 5: Solve for x
    x = 107,242,167,962.25/150,619.50
  6. Step 6: Final answer
    x = 712,007.20

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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.