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Finding the Third Proportional to 171,326 and 251,145

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Solution

The third proportional to 171,326 and 251,145 is: 368,150.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,326 : 251,145 = 251,145 : x
  2. Step 2: Convert to fraction form
    171,326/251,145 = 251,145/x
  3. Step 3: Cross multiply
    171,326x = 251,145 × 251,145
  4. Step 4: Simplify right side
    171,326x = 63,073,811,025
  5. Step 5: Solve for x
    x = 63,073,811,025/171,326
  6. Step 6: Final answer
    x = 368,150.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.