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Finding the Third Proportional to 166,458 and 364,058

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Solution

The third proportional to 166,458 and 364,058 is: 796,226.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,458 : 364,058 = 364,058 : x
  2. Step 2: Convert to fraction form
    166,458/364,058 = 364,058/x
  3. Step 3: Cross multiply
    166,458x = 364,058 × 364,058
  4. Step 4: Simplify right side
    166,458x = 132,538,227,364
  5. Step 5: Solve for x
    x = 132,538,227,364/166,458
  6. Step 6: Final answer
    x = 796,226.24

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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.