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Finding the Third Proportional to 206,382 and 308,625

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Solution

The third proportional to 206,382 and 308,625 is: 461,519.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,382 : 308,625 = 308,625 : x
  2. Step 2: Convert to fraction form
    206,382/308,625 = 308,625/x
  3. Step 3: Cross multiply
    206,382x = 308,625 × 308,625
  4. Step 4: Simplify right side
    206,382x = 95,249,390,625
  5. Step 5: Solve for x
    x = 95,249,390,625/206,382
  6. Step 6: Final answer
    x = 461,519.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.