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Finding the Third Proportional to 220,387.50 and 327,341.25

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Solution

The third proportional to 220,387.50 and 327,341.25 is: 486,199.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,387.50 : 327,341.25 = 327,341.25 : x
  2. Step 2: Convert to fraction form
    220,387.50/327,341.25 = 327,341.25/x
  3. Step 3: Cross multiply
    220,387.50x = 327,341.25 × 327,341.25
  4. Step 4: Simplify right side
    220,387.50x = 107,152,293,951.56
  5. Step 5: Solve for x
    x = 107,152,293,951.56/220,387.50
  6. Step 6: Final answer
    x = 486,199.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.