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Finding the Third Proportional to 168,175 and 252,969

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Solution

The third proportional to 168,175 and 252,969 is: 380,516.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,175 : 252,969 = 252,969 : x
  2. Step 2: Convert to fraction form
    168,175/252,969 = 252,969/x
  3. Step 3: Cross multiply
    168,175x = 252,969 × 252,969
  4. Step 4: Simplify right side
    168,175x = 63,993,314,961
  5. Step 5: Solve for x
    x = 63,993,314,961/168,175
  6. Step 6: Final answer
    x = 380,516.22

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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.