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Finding the Third Proportional to 84,644 and 180,949

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Solution

The third proportional to 84,644 and 180,949 is: 386,826.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,644 : 180,949 = 180,949 : x
  2. Step 2: Convert to fraction form
    84,644/180,949 = 180,949/x
  3. Step 3: Cross multiply
    84,644x = 180,949 × 180,949
  4. Step 4: Simplify right side
    84,644x = 32,742,540,601
  5. Step 5: Solve for x
    x = 32,742,540,601/84,644
  6. Step 6: Final answer
    x = 386,826.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.