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Finding the Third Proportional to 215,849.81 and 301,922.44

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Solution

The third proportional to 215,849.81 and 301,922.44 is: 422,317.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,849.81 : 301,922.44 = 301,922.44 : x
  2. Step 2: Convert to fraction form
    215,849.81/301,922.44 = 301,922.44/x
  3. Step 3: Cross multiply
    215,849.81x = 301,922.44 × 301,922.44
  4. Step 4: Simplify right side
    215,849.81x = 91,157,158,265.94
  5. Step 5: Solve for x
    x = 91,157,158,265.94/215,849.81
  6. Step 6: Final answer
    x = 422,317.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.