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Finding the Third Proportional to 147,891 and 221,764.50

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Solution

The third proportional to 147,891 and 221,764.50 is: 332,538.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,891 : 221,764.50 = 221,764.50 : x
  2. Step 2: Convert to fraction form
    147,891/221,764.50 = 221,764.50/x
  3. Step 3: Cross multiply
    147,891x = 221,764.50 × 221,764.50
  4. Step 4: Simplify right side
    147,891x = 49,179,493,460.25
  5. Step 5: Solve for x
    x = 49,179,493,460.25/147,891
  6. Step 6: Final answer
    x = 332,538.79

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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.