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Finding the Third Proportional to 166,222 and 356,258

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Solution

The third proportional to 166,222 and 356,258 is: 763,555.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,222 : 356,258 = 356,258 : x
  2. Step 2: Convert to fraction form
    166,222/356,258 = 356,258/x
  3. Step 3: Cross multiply
    166,222x = 356,258 × 356,258
  4. Step 4: Simplify right side
    166,222x = 126,919,762,564
  5. Step 5: Solve for x
    x = 126,919,762,564/166,222
  6. Step 6: Final answer
    x = 763,555.74

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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.