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Finding the Third Proportional to 179,036 and 250,962

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Solution

The third proportional to 179,036 and 250,962 is: 351,783.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,036 : 250,962 = 250,962 : x
  2. Step 2: Convert to fraction form
    179,036/250,962 = 250,962/x
  3. Step 3: Cross multiply
    179,036x = 250,962 × 250,962
  4. Step 4: Simplify right side
    179,036x = 62,981,925,444
  5. Step 5: Solve for x
    x = 62,981,925,444/179,036
  6. Step 6: Final answer
    x = 351,783.58

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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.