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Finding the Third Proportional to 153,519.75 and 225,891

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Solution

The third proportional to 153,519.75 and 225,891 is: 332,379.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,519.75 : 225,891 = 225,891 : x
  2. Step 2: Convert to fraction form
    153,519.75/225,891 = 225,891/x
  3. Step 3: Cross multiply
    153,519.75x = 225,891 × 225,891
  4. Step 4: Simplify right side
    153,519.75x = 51,026,743,881
  5. Step 5: Solve for x
    x = 51,026,743,881/153,519.75
  6. Step 6: Final answer
    x = 332,379.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.