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Finding the Third Proportional to 87,346 and 205,324

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Solution

The third proportional to 87,346 and 205,324 is: 482,654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,346 : 205,324 = 205,324 : x
  2. Step 2: Convert to fraction form
    87,346/205,324 = 205,324/x
  3. Step 3: Cross multiply
    87,346x = 205,324 × 205,324
  4. Step 4: Simplify right side
    87,346x = 42,157,944,976
  5. Step 5: Solve for x
    x = 42,157,944,976/87,346
  6. Step 6: Final answer
    x = 482,654.56

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.