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Finding the Third Proportional to 150,284 and 224,956

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Solution

The third proportional to 150,284 and 224,956 is: 336,730.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,284 : 224,956 = 224,956 : x
  2. Step 2: Convert to fraction form
    150,284/224,956 = 224,956/x
  3. Step 3: Cross multiply
    150,284x = 224,956 × 224,956
  4. Step 4: Simplify right side
    150,284x = 50,605,201,936
  5. Step 5: Solve for x
    x = 50,605,201,936/150,284
  6. Step 6: Final answer
    x = 336,730.47

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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.