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Finding the Third Proportional to 206,752.50 and 446,517

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Solution

The third proportional to 206,752.50 and 446,517 is: 964,329.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,752.50 : 446,517 = 446,517 : x
  2. Step 2: Convert to fraction form
    206,752.50/446,517 = 446,517/x
  3. Step 3: Cross multiply
    206,752.50x = 446,517 × 446,517
  4. Step 4: Simplify right side
    206,752.50x = 199,377,431,289
  5. Step 5: Solve for x
    x = 199,377,431,289/206,752.50
  6. Step 6: Final answer
    x = 964,329.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.