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Finding the Third Proportional to 84,034 and 182,197

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Solution

The third proportional to 84,034 and 182,197 is: 395,027.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,034 : 182,197 = 182,197 : x
  2. Step 2: Convert to fraction form
    84,034/182,197 = 182,197/x
  3. Step 3: Cross multiply
    84,034x = 182,197 × 182,197
  4. Step 4: Simplify right side
    84,034x = 33,195,746,809
  5. Step 5: Solve for x
    x = 33,195,746,809/84,034
  6. Step 6: Final answer
    x = 395,027.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.