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Finding the Third Proportional to 207,539 and 311,311

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Solution

The third proportional to 207,539 and 311,311 is: 466,970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,539 : 311,311 = 311,311 : x
  2. Step 2: Convert to fraction form
    207,539/311,311 = 311,311/x
  3. Step 3: Cross multiply
    207,539x = 311,311 × 311,311
  4. Step 4: Simplify right side
    207,539x = 96,914,538,721
  5. Step 5: Solve for x
    x = 96,914,538,721/207,539
  6. Step 6: Final answer
    x = 466,970.25

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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.