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Finding the Third Proportional to 215,871 and 301,950

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Solution

The third proportional to 215,871 and 301,950 is: 422,353.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,871 : 301,950 = 301,950 : x
  2. Step 2: Convert to fraction form
    215,871/301,950 = 301,950/x
  3. Step 3: Cross multiply
    215,871x = 301,950 × 301,950
  4. Step 4: Simplify right side
    215,871x = 91,173,802,500
  5. Step 5: Solve for x
    x = 91,173,802,500/215,871
  6. Step 6: Final answer
    x = 422,353.18

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