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Finding the Third Proportional to 82,594.88 and 180,360.75

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Solution

The third proportional to 82,594.88 and 180,360.75 is: 393,850.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,594.88 : 180,360.75 = 180,360.75 : x
  2. Step 2: Convert to fraction form
    82,594.88/180,360.75 = 180,360.75/x
  3. Step 3: Cross multiply
    82,594.88x = 180,360.75 × 180,360.75
  4. Step 4: Simplify right side
    82,594.88x = 32,530,000,140.56
  5. Step 5: Solve for x
    x = 32,530,000,140.56/82,594.88
  6. Step 6: Final answer
    x = 393,850.10

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.