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Finding the Third Proportional to 166,058 and 251,052

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Solution

The third proportional to 166,058 and 251,052 is: 379,548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,058 : 251,052 = 251,052 : x
  2. Step 2: Convert to fraction form
    166,058/251,052 = 251,052/x
  3. Step 3: Cross multiply
    166,058x = 251,052 × 251,052
  4. Step 4: Simplify right side
    166,058x = 63,027,106,704
  5. Step 5: Solve for x
    x = 63,027,106,704/166,058
  6. Step 6: Final answer
    x = 379,548.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.