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Finding the Third Proportional to 97,667 and 207,329

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Solution

The third proportional to 97,667 and 207,329 is: 440,121.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,667 : 207,329 = 207,329 : x
  2. Step 2: Convert to fraction form
    97,667/207,329 = 207,329/x
  3. Step 3: Cross multiply
    97,667x = 207,329 × 207,329
  4. Step 4: Simplify right side
    97,667x = 42,985,314,241
  5. Step 5: Solve for x
    x = 42,985,314,241/97,667
  6. Step 6: Final answer
    x = 440,121.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.