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Finding the Third Proportional to 207,998 and 313,467

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Solution

The third proportional to 207,998 and 313,467 is: 472,415.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,998 : 313,467 = 313,467 : x
  2. Step 2: Convert to fraction form
    207,998/313,467 = 313,467/x
  3. Step 3: Cross multiply
    207,998x = 313,467 × 313,467
  4. Step 4: Simplify right side
    207,998x = 98,261,560,089
  5. Step 5: Solve for x
    x = 98,261,560,089/207,998
  6. Step 6: Final answer
    x = 472,415.89

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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.