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Finding the Third Proportional to 206,882 and 295,297

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Solution

The third proportional to 206,882 and 295,297 is: 421,497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,882 : 295,297 = 295,297 : x
  2. Step 2: Convert to fraction form
    206,882/295,297 = 295,297/x
  3. Step 3: Cross multiply
    206,882x = 295,297 × 295,297
  4. Step 4: Simplify right side
    206,882x = 87,200,318,209
  5. Step 5: Solve for x
    x = 87,200,318,209/206,882
  6. Step 6: Final answer
    x = 421,497.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.