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Finding the Third Proportional to 86,785 and 175,982

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Solution

The third proportional to 86,785 and 175,982 is: 356,855.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,785 : 175,982 = 175,982 : x
  2. Step 2: Convert to fraction form
    86,785/175,982 = 175,982/x
  3. Step 3: Cross multiply
    86,785x = 175,982 × 175,982
  4. Step 4: Simplify right side
    86,785x = 30,969,664,324
  5. Step 5: Solve for x
    x = 30,969,664,324/86,785
  6. Step 6: Final answer
    x = 356,855.04

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.