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Finding the Third Proportional to 215,869 and 301,951

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Solution

The third proportional to 215,869 and 301,951 is: 422,359.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,869 : 301,951 = 301,951 : x
  2. Step 2: Convert to fraction form
    215,869/301,951 = 301,951/x
  3. Step 3: Cross multiply
    215,869x = 301,951 × 301,951
  4. Step 4: Simplify right side
    215,869x = 91,174,406,401
  5. Step 5: Solve for x
    x = 91,174,406,401/215,869
  6. Step 6: Final answer
    x = 422,359.89

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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.