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Finding the Third Proportional to 82,355 and 192,567

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Solution

The third proportional to 82,355 and 192,567 is: 450,270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,355 : 192,567 = 192,567 : x
  2. Step 2: Convert to fraction form
    82,355/192,567 = 192,567/x
  3. Step 3: Cross multiply
    82,355x = 192,567 × 192,567
  4. Step 4: Simplify right side
    82,355x = 37,082,049,489
  5. Step 5: Solve for x
    x = 37,082,049,489/82,355
  6. Step 6: Final answer
    x = 450,270.77

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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.