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Finding the Third Proportional to 82,246.50 and 180,200.25

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Solution

The third proportional to 82,246.50 and 180,200.25 is: 394,814.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,246.50 : 180,200.25 = 180,200.25 : x
  2. Step 2: Convert to fraction form
    82,246.50/180,200.25 = 180,200.25/x
  3. Step 3: Cross multiply
    82,246.50x = 180,200.25 × 180,200.25
  4. Step 4: Simplify right side
    82,246.50x = 32,472,130,100.06
  5. Step 5: Solve for x
    x = 32,472,130,100.06/82,246.50
  6. Step 6: Final answer
    x = 394,814.73

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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.