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Finding the Third Proportional to 150,313 and 224,740

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Solution

The third proportional to 150,313 and 224,740 is: 336,019.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,313 : 224,740 = 224,740 : x
  2. Step 2: Convert to fraction form
    150,313/224,740 = 224,740/x
  3. Step 3: Cross multiply
    150,313x = 224,740 × 224,740
  4. Step 4: Simplify right side
    150,313x = 50,508,067,600
  5. Step 5: Solve for x
    x = 50,508,067,600/150,313
  6. Step 6: Final answer
    x = 336,019.29

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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.