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Finding the Third Proportional to 207,841 and 313,249

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Solution

The third proportional to 207,841 and 313,249 is: 472,115.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,841 : 313,249 = 313,249 : x
  2. Step 2: Convert to fraction form
    207,841/313,249 = 313,249/x
  3. Step 3: Cross multiply
    207,841x = 313,249 × 313,249
  4. Step 4: Simplify right side
    207,841x = 98,124,936,001
  5. Step 5: Solve for x
    x = 98,124,936,001/207,841
  6. Step 6: Final answer
    x = 472,115.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.