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Finding the Third Proportional to 171,177 and 250,426

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Solution

The third proportional to 171,177 and 250,426 is: 366,364.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,177 : 250,426 = 250,426 : x
  2. Step 2: Convert to fraction form
    171,177/250,426 = 250,426/x
  3. Step 3: Cross multiply
    171,177x = 250,426 × 250,426
  4. Step 4: Simplify right side
    171,177x = 62,713,181,476
  5. Step 5: Solve for x
    x = 62,713,181,476/171,177
  6. Step 6: Final answer
    x = 366,364.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.