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Finding the Third Proportional to 97,665 and 207,325

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Solution

The third proportional to 97,665 and 207,325 is: 440,113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,665 : 207,325 = 207,325 : x
  2. Step 2: Convert to fraction form
    97,665/207,325 = 207,325/x
  3. Step 3: Cross multiply
    97,665x = 207,325 × 207,325
  4. Step 4: Simplify right side
    97,665x = 42,983,655,625
  5. Step 5: Solve for x
    x = 42,983,655,625/97,665
  6. Step 6: Final answer
    x = 440,113.20

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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.