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Finding the Third Proportional to 169,685 and 335,085

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Solution

The third proportional to 169,685 and 335,085 is: 661,708.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,685 : 335,085 = 335,085 : x
  2. Step 2: Convert to fraction form
    169,685/335,085 = 335,085/x
  3. Step 3: Cross multiply
    169,685x = 335,085 × 335,085
  4. Step 4: Simplify right side
    169,685x = 112,281,957,225
  5. Step 5: Solve for x
    x = 112,281,957,225/169,685
  6. Step 6: Final answer
    x = 661,708.21

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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.