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Finding the Third Proportional to 125,224 and 270,175

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Solution

The third proportional to 125,224 and 270,175 is: 582,911.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,224 : 270,175 = 270,175 : x
  2. Step 2: Convert to fraction form
    125,224/270,175 = 270,175/x
  3. Step 3: Cross multiply
    125,224x = 270,175 × 270,175
  4. Step 4: Simplify right side
    125,224x = 72,994,530,625
  5. Step 5: Solve for x
    x = 72,994,530,625/125,224
  6. Step 6: Final answer
    x = 582,911.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.