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Finding the Third Proportional to 166,276 and 248,758

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Solution

The third proportional to 166,276 and 248,758 is: 372,155.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,276 : 248,758 = 248,758 : x
  2. Step 2: Convert to fraction form
    166,276/248,758 = 248,758/x
  3. Step 3: Cross multiply
    166,276x = 248,758 × 248,758
  4. Step 4: Simplify right side
    166,276x = 61,880,542,564
  5. Step 5: Solve for x
    x = 61,880,542,564/166,276
  6. Step 6: Final answer
    x = 372,155.59

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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.