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Finding the Third Proportional to 166,236 and 360,174

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Solution

The third proportional to 166,236 and 360,174 is: 780,368.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,236 : 360,174 = 360,174 : x
  2. Step 2: Convert to fraction form
    166,236/360,174 = 360,174/x
  3. Step 3: Cross multiply
    166,236x = 360,174 × 360,174
  4. Step 4: Simplify right side
    166,236x = 129,725,310,276
  5. Step 5: Solve for x
    x = 129,725,310,276/166,236
  6. Step 6: Final answer
    x = 780,368.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.