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Finding the Third Proportional to 133,982 and 207,366

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Solution

The third proportional to 133,982 and 207,366 is: 320,943.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,982 : 207,366 = 207,366 : x
  2. Step 2: Convert to fraction form
    133,982/207,366 = 207,366/x
  3. Step 3: Cross multiply
    133,982x = 207,366 × 207,366
  4. Step 4: Simplify right side
    133,982x = 43,000,657,956
  5. Step 5: Solve for x
    x = 43,000,657,956/133,982
  6. Step 6: Final answer
    x = 320,943.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.