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Finding the Third Proportional to 160,218 and 251,325

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Solution

The third proportional to 160,218 and 251,325 is: 394,239.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,218 : 251,325 = 251,325 : x
  2. Step 2: Convert to fraction form
    160,218/251,325 = 251,325/x
  3. Step 3: Cross multiply
    160,218x = 251,325 × 251,325
  4. Step 4: Simplify right side
    160,218x = 63,164,255,625
  5. Step 5: Solve for x
    x = 63,164,255,625/160,218
  6. Step 6: Final answer
    x = 394,239.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.