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Finding the Third Proportional to 166,128.47 and 362,325.34

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Solution

The third proportional to 166,128.47 and 362,325.34 is: 790,229.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,128.47 : 362,325.34 = 362,325.34 : x
  2. Step 2: Convert to fraction form
    166,128.47/362,325.34 = 362,325.34/x
  3. Step 3: Cross multiply
    166,128.47x = 362,325.34 × 362,325.34
  4. Step 4: Simplify right side
    166,128.47x = 131,279,651,892.89
  5. Step 5: Solve for x
    x = 131,279,651,892.89/166,128.47
  6. Step 6: Final answer
    x = 790,229.71

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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.