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Finding the Third Proportional to 138,771 and 198,297

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Solution

The third proportional to 138,771 and 198,297 is: 283,356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,771 : 198,297 = 198,297 : x
  2. Step 2: Convert to fraction form
    138,771/198,297 = 198,297/x
  3. Step 3: Cross multiply
    138,771x = 198,297 × 198,297
  4. Step 4: Simplify right side
    138,771x = 39,321,700,209
  5. Step 5: Solve for x
    x = 39,321,700,209/138,771
  6. Step 6: Final answer
    x = 283,356.75

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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.