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Finding the Third Proportional to 171,626 and 362,908

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Solution

The third proportional to 171,626 and 362,908 is: 767,379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,626 : 362,908 = 362,908 : x
  2. Step 2: Convert to fraction form
    171,626/362,908 = 362,908/x
  3. Step 3: Cross multiply
    171,626x = 362,908 × 362,908
  4. Step 4: Simplify right side
    171,626x = 131,702,216,464
  5. Step 5: Solve for x
    x = 131,702,216,464/171,626
  6. Step 6: Final answer
    x = 767,379.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.