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Finding the Third Proportional to 166,175.30 and 362,426.91

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Solution

The third proportional to 166,175.30 and 362,426.91 is: 790,449.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,175.30 : 362,426.91 = 362,426.91 : x
  2. Step 2: Convert to fraction form
    166,175.30/362,426.91 = 362,426.91/x
  3. Step 3: Cross multiply
    166,175.30x = 362,426.91 × 362,426.91
  4. Step 4: Simplify right side
    166,175.30x = 131,353,262,373.95
  5. Step 5: Solve for x
    x = 131,353,262,373.95/166,175.30
  6. Step 6: Final answer
    x = 790,449.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.