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Finding the Third Proportional to 82,350 and 192,555

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Solution

The third proportional to 82,350 and 192,555 is: 450,241.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,350 : 192,555 = 192,555 : x
  2. Step 2: Convert to fraction form
    82,350/192,555 = 192,555/x
  3. Step 3: Cross multiply
    82,350x = 192,555 × 192,555
  4. Step 4: Simplify right side
    82,350x = 37,077,428,025
  5. Step 5: Solve for x
    x = 37,077,428,025/82,350
  6. Step 6: Final answer
    x = 450,241.99

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.