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Finding the Third Proportional to 166,456 and 364,053

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Solution

The third proportional to 166,456 and 364,053 is: 796,213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,456 : 364,053 = 364,053 : x
  2. Step 2: Convert to fraction form
    166,456/364,053 = 364,053/x
  3. Step 3: Cross multiply
    166,456x = 364,053 × 364,053
  4. Step 4: Simplify right side
    166,456x = 132,534,586,809
  5. Step 5: Solve for x
    x = 132,534,586,809/166,456
  6. Step 6: Final answer
    x = 796,213.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.