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Finding the Third Proportional to 84,982 and 186,738

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Solution

The third proportional to 84,982 and 186,738 is: 410,334.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,982 : 186,738 = 186,738 : x
  2. Step 2: Convert to fraction form
    84,982/186,738 = 186,738/x
  3. Step 3: Cross multiply
    84,982x = 186,738 × 186,738
  4. Step 4: Simplify right side
    84,982x = 34,871,080,644
  5. Step 5: Solve for x
    x = 34,871,080,644/84,982
  6. Step 6: Final answer
    x = 410,334.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.