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Finding the Third Proportional to 166,062.38 and 264,365.44

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Solution

The third proportional to 166,062.38 and 264,365.44 is: 420,860.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,062.38 : 264,365.44 = 264,365.44 : x
  2. Step 2: Convert to fraction form
    166,062.38/264,365.44 = 264,365.44/x
  3. Step 3: Cross multiply
    166,062.38x = 264,365.44 × 264,365.44
  4. Step 4: Simplify right side
    166,062.38x = 69,889,084,544.57
  5. Step 5: Solve for x
    x = 69,889,084,544.57/166,062.38
  6. Step 6: Final answer
    x = 420,860.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.