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Finding the Third Proportional to 135,920 and 284,233

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Solution

The third proportional to 135,920 and 284,233 is: 594,381.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,920 : 284,233 = 284,233 : x
  2. Step 2: Convert to fraction form
    135,920/284,233 = 284,233/x
  3. Step 3: Cross multiply
    135,920x = 284,233 × 284,233
  4. Step 4: Simplify right side
    135,920x = 80,788,398,289
  5. Step 5: Solve for x
    x = 80,788,398,289/135,920
  6. Step 6: Final answer
    x = 594,381.98

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.