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Finding the Third Proportional to 166,966 and 250,521

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Solution

The third proportional to 166,966 and 250,521 is: 375,889.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,966 : 250,521 = 250,521 : x
  2. Step 2: Convert to fraction form
    166,966/250,521 = 250,521/x
  3. Step 3: Cross multiply
    166,966x = 250,521 × 250,521
  4. Step 4: Simplify right side
    166,966x = 62,760,771,441
  5. Step 5: Solve for x
    x = 62,760,771,441/166,966
  6. Step 6: Final answer
    x = 375,889.53

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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.