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Finding the Third Proportional to 166,216 and 356,246

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Solution

The third proportional to 166,216 and 356,246 is: 763,531.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,216 : 356,246 = 356,246 : x
  2. Step 2: Convert to fraction form
    166,216/356,246 = 356,246/x
  3. Step 3: Cross multiply
    166,216x = 356,246 × 356,246
  4. Step 4: Simplify right side
    166,216x = 126,911,212,516
  5. Step 5: Solve for x
    x = 126,911,212,516/166,216
  6. Step 6: Final answer
    x = 763,531.87

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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.