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Finding the Third Proportional to 227,786 and 341,571

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Solution

The third proportional to 227,786 and 341,571 is: 512,194.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,786 : 341,571 = 341,571 : x
  2. Step 2: Convert to fraction form
    227,786/341,571 = 341,571/x
  3. Step 3: Cross multiply
    227,786x = 341,571 × 341,571
  4. Step 4: Simplify right side
    227,786x = 116,670,748,041
  5. Step 5: Solve for x
    x = 116,670,748,041/227,786
  6. Step 6: Final answer
    x = 512,194.55

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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.