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Finding the Third Proportional to 167,353 and 254,955

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Solution

The third proportional to 167,353 and 254,955 is: 388,412.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,353 : 254,955 = 254,955 : x
  2. Step 2: Convert to fraction form
    167,353/254,955 = 254,955/x
  3. Step 3: Cross multiply
    167,353x = 254,955 × 254,955
  4. Step 4: Simplify right side
    167,353x = 65,002,052,025
  5. Step 5: Solve for x
    x = 65,002,052,025/167,353
  6. Step 6: Final answer
    x = 388,412.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.