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Finding the Third Proportional to 150,240 and 224,891

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Solution

The third proportional to 150,240 and 224,891 is: 336,634.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,240 : 224,891 = 224,891 : x
  2. Step 2: Convert to fraction form
    150,240/224,891 = 224,891/x
  3. Step 3: Cross multiply
    150,240x = 224,891 × 224,891
  4. Step 4: Simplify right side
    150,240x = 50,575,961,881
  5. Step 5: Solve for x
    x = 50,575,961,881/150,240
  6. Step 6: Final answer
    x = 336,634.46

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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.