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Finding the Third Proportional to 82,374.75 and 180,787.50

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Solution

The third proportional to 82,374.75 and 180,787.50 is: 396,773.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,374.75 : 180,787.50 = 180,787.50 : x
  2. Step 2: Convert to fraction form
    82,374.75/180,787.50 = 180,787.50/x
  3. Step 3: Cross multiply
    82,374.75x = 180,787.50 × 180,787.50
  4. Step 4: Simplify right side
    82,374.75x = 32,684,120,156.25
  5. Step 5: Solve for x
    x = 32,684,120,156.25/82,374.75
  6. Step 6: Final answer
    x = 396,773.53

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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.