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Finding the Third Proportional to 82,534.50 and 180,844.50

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Solution

The third proportional to 82,534.50 and 180,844.50 is: 396,255.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,534.50 : 180,844.50 = 180,844.50 : x
  2. Step 2: Convert to fraction form
    82,534.50/180,844.50 = 180,844.50/x
  3. Step 3: Cross multiply
    82,534.50x = 180,844.50 × 180,844.50
  4. Step 4: Simplify right side
    82,534.50x = 32,704,733,180.25
  5. Step 5: Solve for x
    x = 32,704,733,180.25/82,534.50
  6. Step 6: Final answer
    x = 396,255.30

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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.