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Finding the Third Proportional to 214,179.75 and 476,228.25

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Solution

The third proportional to 214,179.75 and 476,228.25 is: 1,058,892.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,179.75 : 476,228.25 = 476,228.25 : x
  2. Step 2: Convert to fraction form
    214,179.75/476,228.25 = 476,228.25/x
  3. Step 3: Cross multiply
    214,179.75x = 476,228.25 × 476,228.25
  4. Step 4: Simplify right side
    214,179.75x = 226,793,346,098.06
  5. Step 5: Solve for x
    x = 226,793,346,098.06/214,179.75
  6. Step 6: Final answer
    x = 1,058,892.57

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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.