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Finding the Third Proportional to 150,471 and 355,185

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Solution

The third proportional to 150,471 and 355,185 is: 838,409.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,471 : 355,185 = 355,185 : x
  2. Step 2: Convert to fraction form
    150,471/355,185 = 355,185/x
  3. Step 3: Cross multiply
    150,471x = 355,185 × 355,185
  4. Step 4: Simplify right side
    150,471x = 126,156,384,225
  5. Step 5: Solve for x
    x = 126,156,384,225/150,471
  6. Step 6: Final answer
    x = 838,409.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.