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Finding the Third Proportional to 166,146 and 251,200

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Solution

The third proportional to 166,146 and 251,200 is: 379,795.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,146 : 251,200 = 251,200 : x
  2. Step 2: Convert to fraction form
    166,146/251,200 = 251,200/x
  3. Step 3: Cross multiply
    166,146x = 251,200 × 251,200
  4. Step 4: Simplify right side
    166,146x = 63,101,440,000
  5. Step 5: Solve for x
    x = 63,101,440,000/166,146
  6. Step 6: Final answer
    x = 379,795.12

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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.