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Finding the Third Proportional to 97,287 and 206,289

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Solution

The third proportional to 97,287 and 206,289 is: 437,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,287 : 206,289 = 206,289 : x
  2. Step 2: Convert to fraction form
    97,287/206,289 = 206,289/x
  3. Step 3: Cross multiply
    97,287x = 206,289 × 206,289
  4. Step 4: Simplify right side
    97,287x = 42,555,151,521
  5. Step 5: Solve for x
    x = 42,555,151,521/97,287
  6. Step 6: Final answer
    x = 437,418.68

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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.