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Finding the Third Proportional to 168,974 and 252,955

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Solution

The third proportional to 168,974 and 252,955 is: 378,675.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,974 : 252,955 = 252,955 : x
  2. Step 2: Convert to fraction form
    168,974/252,955 = 252,955/x
  3. Step 3: Cross multiply
    168,974x = 252,955 × 252,955
  4. Step 4: Simplify right side
    168,974x = 63,986,232,025
  5. Step 5: Solve for x
    x = 63,986,232,025/168,974
  6. Step 6: Final answer
    x = 378,675.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.