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Finding the Third Proportional to 83,334 and 169,764

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Solution

The third proportional to 83,334 and 169,764 is: 345,835.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,334 : 169,764 = 169,764 : x
  2. Step 2: Convert to fraction form
    83,334/169,764 = 169,764/x
  3. Step 3: Cross multiply
    83,334x = 169,764 × 169,764
  4. Step 4: Simplify right side
    83,334x = 28,819,815,696
  5. Step 5: Solve for x
    x = 28,819,815,696/83,334
  6. Step 6: Final answer
    x = 345,835.02

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.