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Finding the Third Proportional to 82,555.50 and 180,933

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Solution

The third proportional to 82,555.50 and 180,933 is: 396,542.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,555.50 : 180,933 = 180,933 : x
  2. Step 2: Convert to fraction form
    82,555.50/180,933 = 180,933/x
  3. Step 3: Cross multiply
    82,555.50x = 180,933 × 180,933
  4. Step 4: Simplify right side
    82,555.50x = 32,736,750,489
  5. Step 5: Solve for x
    x = 32,736,750,489/82,555.50
  6. Step 6: Final answer
    x = 396,542.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.