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Finding the Third Proportional to 214,180.50 and 476,231.25

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Solution

The third proportional to 214,180.50 and 476,231.25 is: 1,058,902.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,180.50 : 476,231.25 = 476,231.25 : x
  2. Step 2: Convert to fraction form
    214,180.50/476,231.25 = 476,231.25/x
  3. Step 3: Cross multiply
    214,180.50x = 476,231.25 × 476,231.25
  4. Step 4: Simplify right side
    214,180.50x = 226,796,203,476.56
  5. Step 5: Solve for x
    x = 226,796,203,476.56/214,180.50
  6. Step 6: Final answer
    x = 1,058,902.20

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.