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Finding the Third Proportional to 171,159.75 and 250,401

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Solution

The third proportional to 171,159.75 and 250,401 is: 366,328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,159.75 : 250,401 = 250,401 : x
  2. Step 2: Convert to fraction form
    171,159.75/250,401 = 250,401/x
  3. Step 3: Cross multiply
    171,159.75x = 250,401 × 250,401
  4. Step 4: Simplify right side
    171,159.75x = 62,700,660,801
  5. Step 5: Solve for x
    x = 62,700,660,801/171,159.75
  6. Step 6: Final answer
    x = 366,328.30

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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.