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Finding the Third Proportional to 150,192 and 224,820

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Solution

The third proportional to 150,192 and 224,820 is: 336,529.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,192 : 224,820 = 224,820 : x
  2. Step 2: Convert to fraction form
    150,192/224,820 = 224,820/x
  3. Step 3: Cross multiply
    150,192x = 224,820 × 224,820
  4. Step 4: Simplify right side
    150,192x = 50,544,032,400
  5. Step 5: Solve for x
    x = 50,544,032,400/150,192
  6. Step 6: Final answer
    x = 336,529.46

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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.