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Finding the Third Proportional to 166,432.22 and 364,002.61

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Solution

The third proportional to 166,432.22 and 364,002.61 is: 796,107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,432.22 : 364,002.61 = 364,002.61 : x
  2. Step 2: Convert to fraction form
    166,432.22/364,002.61 = 364,002.61/x
  3. Step 3: Cross multiply
    166,432.22x = 364,002.61 × 364,002.61
  4. Step 4: Simplify right side
    166,432.22x = 132,497,899,631.81
  5. Step 5: Solve for x
    x = 132,497,899,631.81/166,432.22
  6. Step 6: Final answer
    x = 796,107.27

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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.