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Finding the Third Proportional to 166,972 and 251,898

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Solution

The third proportional to 166,972 and 251,898 is: 380,019.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,972 : 251,898 = 251,898 : x
  2. Step 2: Convert to fraction form
    166,972/251,898 = 251,898/x
  3. Step 3: Cross multiply
    166,972x = 251,898 × 251,898
  4. Step 4: Simplify right side
    166,972x = 63,452,602,404
  5. Step 5: Solve for x
    x = 63,452,602,404/166,972
  6. Step 6: Final answer
    x = 380,019.42

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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.