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Finding the Third Proportional to 133,871 and 215,238

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Solution

The third proportional to 133,871 and 215,238 is: 346,059.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,871 : 215,238 = 215,238 : x
  2. Step 2: Convert to fraction form
    133,871/215,238 = 215,238/x
  3. Step 3: Cross multiply
    133,871x = 215,238 × 215,238
  4. Step 4: Simplify right side
    133,871x = 46,327,396,644
  5. Step 5: Solve for x
    x = 46,327,396,644/133,871
  6. Step 6: Final answer
    x = 346,059.99

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.