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Finding the Third Proportional to 96,327 and 209,340

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Solution

The third proportional to 96,327 and 209,340 is: 454,942.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,327 : 209,340 = 209,340 : x
  2. Step 2: Convert to fraction form
    96,327/209,340 = 209,340/x
  3. Step 3: Cross multiply
    96,327x = 209,340 × 209,340
  4. Step 4: Simplify right side
    96,327x = 43,823,235,600
  5. Step 5: Solve for x
    x = 43,823,235,600/96,327
  6. Step 6: Final answer
    x = 454,942.39

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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.