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Finding the Third Proportional to 215,223.75 and 469,200.38

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Solution

The third proportional to 215,223.75 and 469,200.38 is: 1,022,884.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,223.75 : 469,200.38 = 469,200.38 : x
  2. Step 2: Convert to fraction form
    215,223.75/469,200.38 = 469,200.38/x
  3. Step 3: Cross multiply
    215,223.75x = 469,200.38 × 469,200.38
  4. Step 4: Simplify right side
    215,223.75x = 220,148,991,900.14
  5. Step 5: Solve for x
    x = 220,148,991,900.14/215,223.75
  6. Step 6: Final answer
    x = 1,022,884.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.