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Finding the Third Proportional to 179,014 and 250,943

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Solution

The third proportional to 179,014 and 250,943 is: 351,773.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,014 : 250,943 = 250,943 : x
  2. Step 2: Convert to fraction form
    179,014/250,943 = 250,943/x
  3. Step 3: Cross multiply
    179,014x = 250,943 × 250,943
  4. Step 4: Simplify right side
    179,014x = 62,972,389,249
  5. Step 5: Solve for x
    x = 62,972,389,249/179,014
  6. Step 6: Final answer
    x = 351,773.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.