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Finding the Third Proportional to 166,214 and 248,655

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Solution

The third proportional to 166,214 and 248,655 is: 371,986.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,214 : 248,655 = 248,655 : x
  2. Step 2: Convert to fraction form
    166,214/248,655 = 248,655/x
  3. Step 3: Cross multiply
    166,214x = 248,655 × 248,655
  4. Step 4: Simplify right side
    166,214x = 61,829,309,025
  5. Step 5: Solve for x
    x = 61,829,309,025/166,214
  6. Step 6: Final answer
    x = 371,986.17

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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.