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Finding the Third Proportional to 169,713 and 335,142

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Solution

The third proportional to 169,713 and 335,142 is: 661,824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,713 : 335,142 = 335,142 : x
  2. Step 2: Convert to fraction form
    169,713/335,142 = 335,142/x
  3. Step 3: Cross multiply
    169,713x = 335,142 × 335,142
  4. Step 4: Simplify right side
    169,713x = 112,320,160,164
  5. Step 5: Solve for x
    x = 112,320,160,164/169,713
  6. Step 6: Final answer
    x = 661,824.14

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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.