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Finding the Third Proportional to 206,275.50 and 328,224.75

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Solution

The third proportional to 206,275.50 and 328,224.75 is: 522,269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,275.50 : 328,224.75 = 328,224.75 : x
  2. Step 2: Convert to fraction form
    206,275.50/328,224.75 = 328,224.75/x
  3. Step 3: Cross multiply
    206,275.50x = 328,224.75 × 328,224.75
  4. Step 4: Simplify right side
    206,275.50x = 107,731,486,512.56
  5. Step 5: Solve for x
    x = 107,731,486,512.56/206,275.50
  6. Step 6: Final answer
    x = 522,269.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.