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Finding the Third Proportional to 83,478 and 170,796

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Solution

The third proportional to 83,478 and 170,796 is: 349,448.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,478 : 170,796 = 170,796 : x
  2. Step 2: Convert to fraction form
    83,478/170,796 = 170,796/x
  3. Step 3: Cross multiply
    83,478x = 170,796 × 170,796
  4. Step 4: Simplify right side
    83,478x = 29,171,273,616
  5. Step 5: Solve for x
    x = 29,171,273,616/83,478
  6. Step 6: Final answer
    x = 349,448.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.