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Finding the Third Proportional to 82,483.50 and 166,246

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Solution

The third proportional to 82,483.50 and 166,246 is: 335,069.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,483.50 : 166,246 = 166,246 : x
  2. Step 2: Convert to fraction form
    82,483.50/166,246 = 166,246/x
  3. Step 3: Cross multiply
    82,483.50x = 166,246 × 166,246
  4. Step 4: Simplify right side
    82,483.50x = 27,637,732,516
  5. Step 5: Solve for x
    x = 27,637,732,516/82,483.50
  6. Step 6: Final answer
    x = 335,069.83

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These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.