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Finding the Third Proportional to 175,222 and 274,555

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Solution

The third proportional to 175,222 and 274,555 is: 430,199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,222 : 274,555 = 274,555 : x
  2. Step 2: Convert to fraction form
    175,222/274,555 = 274,555/x
  3. Step 3: Cross multiply
    175,222x = 274,555 × 274,555
  4. Step 4: Simplify right side
    175,222x = 75,380,448,025
  5. Step 5: Solve for x
    x = 75,380,448,025/175,222
  6. Step 6: Final answer
    x = 430,199.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.