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Finding the Third Proportional to 83,348 and 179,818

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Solution

The third proportional to 83,348 and 179,818 is: 387,945.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,348 : 179,818 = 179,818 : x
  2. Step 2: Convert to fraction form
    83,348/179,818 = 179,818/x
  3. Step 3: Cross multiply
    83,348x = 179,818 × 179,818
  4. Step 4: Simplify right side
    83,348x = 32,334,513,124
  5. Step 5: Solve for x
    x = 32,334,513,124/83,348
  6. Step 6: Final answer
    x = 387,945.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.