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Finding the Third Proportional to 165,974 and 251,466

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Solution

The third proportional to 165,974 and 251,466 is: 380,994.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,974 : 251,466 = 251,466 : x
  2. Step 2: Convert to fraction form
    165,974/251,466 = 251,466/x
  3. Step 3: Cross multiply
    165,974x = 251,466 × 251,466
  4. Step 4: Simplify right side
    165,974x = 63,235,149,156
  5. Step 5: Solve for x
    x = 63,235,149,156/165,974
  6. Step 6: Final answer
    x = 380,994.31

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.