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Finding the Third Proportional to 166,471 and 364,033

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Solution

The third proportional to 166,471 and 364,033 is: 796,054.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,471 : 364,033 = 364,033 : x
  2. Step 2: Convert to fraction form
    166,471/364,033 = 364,033/x
  3. Step 3: Cross multiply
    166,471x = 364,033 × 364,033
  4. Step 4: Simplify right side
    166,471x = 132,520,025,089
  5. Step 5: Solve for x
    x = 132,520,025,089/166,471
  6. Step 6: Final answer
    x = 796,054.72

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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.