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Finding the Third Proportional to 166,494 and 248,757

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Solution

The third proportional to 166,494 and 248,757 is: 371,665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,494 : 248,757 = 248,757 : x
  2. Step 2: Convert to fraction form
    166,494/248,757 = 248,757/x
  3. Step 3: Cross multiply
    166,494x = 248,757 × 248,757
  4. Step 4: Simplify right side
    166,494x = 61,880,045,049
  5. Step 5: Solve for x
    x = 61,880,045,049/166,494
  6. Step 6: Final answer
    x = 371,665.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.