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Finding the Third Proportional to 169,708 and 335,133

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Solution

The third proportional to 169,708 and 335,133 is: 661,808.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,708 : 335,133 = 335,133 : x
  2. Step 2: Convert to fraction form
    169,708/335,133 = 335,133/x
  3. Step 3: Cross multiply
    169,708x = 335,133 × 335,133
  4. Step 4: Simplify right side
    169,708x = 112,314,127,689
  5. Step 5: Solve for x
    x = 112,314,127,689/169,708
  6. Step 6: Final answer
    x = 661,808.09

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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.