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Finding the Third Proportional to 169,680.94 and 335,079

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Solution

The third proportional to 169,680.94 and 335,079 is: 661,700.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,680.94 : 335,079 = 335,079 : x
  2. Step 2: Convert to fraction form
    169,680.94/335,079 = 335,079/x
  3. Step 3: Cross multiply
    169,680.94x = 335,079 × 335,079
  4. Step 4: Simplify right side
    169,680.94x = 112,277,936,241
  5. Step 5: Solve for x
    x = 112,277,936,241/169,680.94
  6. Step 6: Final answer
    x = 661,700.35

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.