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Finding the Third Proportional to 166,062 and 251,058

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Solution

The third proportional to 166,062 and 251,058 is: 379,557.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,062 : 251,058 = 251,058 : x
  2. Step 2: Convert to fraction form
    166,062/251,058 = 251,058/x
  3. Step 3: Cross multiply
    166,062x = 251,058 × 251,058
  4. Step 4: Simplify right side
    166,062x = 63,030,119,364
  5. Step 5: Solve for x
    x = 63,030,119,364/166,062
  6. Step 6: Final answer
    x = 379,557.75

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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.