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Finding the Third Proportional to 132,081 and 284,697

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Solution

The third proportional to 132,081 and 284,697 is: 613,656.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,081 : 284,697 = 284,697 : x
  2. Step 2: Convert to fraction form
    132,081/284,697 = 284,697/x
  3. Step 3: Cross multiply
    132,081x = 284,697 × 284,697
  4. Step 4: Simplify right side
    132,081x = 81,052,381,809
  5. Step 5: Solve for x
    x = 81,052,381,809/132,081
  6. Step 6: Final answer
    x = 613,656.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.