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Finding the Third Proportional to 84,629 and 180,922

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Solution

The third proportional to 84,629 and 180,922 is: 386,779.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,629 : 180,922 = 180,922 : x
  2. Step 2: Convert to fraction form
    84,629/180,922 = 180,922/x
  3. Step 3: Cross multiply
    84,629x = 180,922 × 180,922
  4. Step 4: Simplify right side
    84,629x = 32,732,770,084
  5. Step 5: Solve for x
    x = 32,732,770,084/84,629
  6. Step 6: Final answer
    x = 386,779.59

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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.