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Finding the Third Proportional to 114,277 and 171,307

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Solution

The third proportional to 114,277 and 171,307 is: 256,797.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,277 : 171,307 = 171,307 : x
  2. Step 2: Convert to fraction form
    114,277/171,307 = 171,307/x
  3. Step 3: Cross multiply
    114,277x = 171,307 × 171,307
  4. Step 4: Simplify right side
    114,277x = 29,346,088,249
  5. Step 5: Solve for x
    x = 29,346,088,249/114,277
  6. Step 6: Final answer
    x = 256,797.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.