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Finding the Third Proportional to 82,657.69 and 168,817.50

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Solution

The third proportional to 82,657.69 and 168,817.50 is: 344,787.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,657.69 : 168,817.50 = 168,817.50 : x
  2. Step 2: Convert to fraction form
    82,657.69/168,817.50 = 168,817.50/x
  3. Step 3: Cross multiply
    82,657.69x = 168,817.50 × 168,817.50
  4. Step 4: Simplify right side
    82,657.69x = 28,499,348,306.25
  5. Step 5: Solve for x
    x = 28,499,348,306.25/82,657.69
  6. Step 6: Final answer
    x = 344,787.63

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.