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Finding the Third Proportional to 155,960 and 227,622

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Solution

The third proportional to 155,960 and 227,622 is: 332,211.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,960 : 227,622 = 227,622 : x
  2. Step 2: Convert to fraction form
    155,960/227,622 = 227,622/x
  3. Step 3: Cross multiply
    155,960x = 227,622 × 227,622
  4. Step 4: Simplify right side
    155,960x = 51,811,774,884
  5. Step 5: Solve for x
    x = 51,811,774,884/155,960
  6. Step 6: Final answer
    x = 332,211.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.