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Finding the Third Proportional to 207,984 and 313,837

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Solution

The third proportional to 207,984 and 313,837 is: 473,563.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,984 : 313,837 = 313,837 : x
  2. Step 2: Convert to fraction form
    207,984/313,837 = 313,837/x
  3. Step 3: Cross multiply
    207,984x = 313,837 × 313,837
  4. Step 4: Simplify right side
    207,984x = 98,493,662,569
  5. Step 5: Solve for x
    x = 98,493,662,569/207,984
  6. Step 6: Final answer
    x = 473,563.65

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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.