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Finding the Third Proportional to 166,444 and 356,216

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Solution

The third proportional to 166,444 and 356,216 is: 762,357.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,444 : 356,216 = 356,216 : x
  2. Step 2: Convert to fraction form
    166,444/356,216 = 356,216/x
  3. Step 3: Cross multiply
    166,444x = 356,216 × 356,216
  4. Step 4: Simplify right side
    166,444x = 126,889,838,656
  5. Step 5: Solve for x
    x = 126,889,838,656/166,444
  6. Step 6: Final answer
    x = 762,357.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.