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Finding the Third Proportional to 150,739.50 and 327,723

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Solution

The third proportional to 150,739.50 and 327,723 is: 712,503.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,739.50 : 327,723 = 327,723 : x
  2. Step 2: Convert to fraction form
    150,739.50/327,723 = 327,723/x
  3. Step 3: Cross multiply
    150,739.50x = 327,723 × 327,723
  4. Step 4: Simplify right side
    150,739.50x = 107,402,364,729
  5. Step 5: Solve for x
    x = 107,402,364,729/150,739.50
  6. Step 6: Final answer
    x = 712,503.12

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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.