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Finding the Third Proportional to 126,222 and 270,175

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Solution

The third proportional to 126,222 and 270,175 is: 578,302.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,222 : 270,175 = 270,175 : x
  2. Step 2: Convert to fraction form
    126,222/270,175 = 270,175/x
  3. Step 3: Cross multiply
    126,222x = 270,175 × 270,175
  4. Step 4: Simplify right side
    126,222x = 72,994,530,625
  5. Step 5: Solve for x
    x = 72,994,530,625/126,222
  6. Step 6: Final answer
    x = 578,302.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.