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Finding the Third Proportional to 158,022 and 334,629

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Solution

The third proportional to 158,022 and 334,629 is: 708,613.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,022 : 334,629 = 334,629 : x
  2. Step 2: Convert to fraction form
    158,022/334,629 = 334,629/x
  3. Step 3: Cross multiply
    158,022x = 334,629 × 334,629
  4. Step 4: Simplify right side
    158,022x = 111,976,567,641
  5. Step 5: Solve for x
    x = 111,976,567,641/158,022
  6. Step 6: Final answer
    x = 708,613.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.