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Finding the Third Proportional to 166,233.09 and 263,266.03

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Solution

The third proportional to 166,233.09 and 263,266.03 is: 416,938.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,233.09 : 263,266.03 = 263,266.03 : x
  2. Step 2: Convert to fraction form
    166,233.09/263,266.03 = 263,266.03/x
  3. Step 3: Cross multiply
    166,233.09x = 263,266.03 × 263,266.03
  4. Step 4: Simplify right side
    166,233.09x = 69,309,003,210.13
  5. Step 5: Solve for x
    x = 69,309,003,210.13/166,233.09
  6. Step 6: Final answer
    x = 416,938.66

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.