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Finding the Third Proportional to 84,213 and 182,718

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Solution

The third proportional to 84,213 and 182,718 is: 396,445.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,213 : 182,718 = 182,718 : x
  2. Step 2: Convert to fraction form
    84,213/182,718 = 182,718/x
  3. Step 3: Cross multiply
    84,213x = 182,718 × 182,718
  4. Step 4: Simplify right side
    84,213x = 33,385,867,524
  5. Step 5: Solve for x
    x = 33,385,867,524/84,213
  6. Step 6: Final answer
    x = 396,445.53

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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.