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Finding the Third Proportional to 150,280 and 224,949

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Solution

The third proportional to 150,280 and 224,949 is: 336,718.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,280 : 224,949 = 224,949 : x
  2. Step 2: Convert to fraction form
    150,280/224,949 = 224,949/x
  3. Step 3: Cross multiply
    150,280x = 224,949 × 224,949
  4. Step 4: Simplify right side
    150,280x = 50,602,052,601
  5. Step 5: Solve for x
    x = 50,602,052,601/150,280
  6. Step 6: Final answer
    x = 336,718.48

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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.