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Finding the Third Proportional to 166,234.78 and 263,268.14

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Solution

The third proportional to 166,234.78 and 263,268.14 is: 416,941.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,234.78 : 263,268.14 = 263,268.14 : x
  2. Step 2: Convert to fraction form
    166,234.78/263,268.14 = 263,268.14/x
  3. Step 3: Cross multiply
    166,234.78x = 263,268.14 × 263,268.14
  4. Step 4: Simplify right side
    166,234.78x = 69,310,113,868.14
  5. Step 5: Solve for x
    x = 69,310,113,868.14/166,234.78
  6. Step 6: Final answer
    x = 416,941.11

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Why These Related Problems?

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