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Finding the Third Proportional to 171,146 and 227,133

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Solution

The third proportional to 171,146 and 227,133 is: 301,435.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,146 : 227,133 = 227,133 : x
  2. Step 2: Convert to fraction form
    171,146/227,133 = 227,133/x
  3. Step 3: Cross multiply
    171,146x = 227,133 × 227,133
  4. Step 4: Simplify right side
    171,146x = 51,589,399,689
  5. Step 5: Solve for x
    x = 51,589,399,689/171,146
  6. Step 6: Final answer
    x = 301,435.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.