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Finding the Third Proportional to 82,162.50 and 176,779

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Solution

The third proportional to 82,162.50 and 176,779 is: 380,353.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,162.50 : 176,779 = 176,779 : x
  2. Step 2: Convert to fraction form
    82,162.50/176,779 = 176,779/x
  3. Step 3: Cross multiply
    82,162.50x = 176,779 × 176,779
  4. Step 4: Simplify right side
    82,162.50x = 31,250,814,841
  5. Step 5: Solve for x
    x = 31,250,814,841/82,162.50
  6. Step 6: Final answer
    x = 380,353.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.