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Finding the Third Proportional to 104,871 and 227,238

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Solution

The third proportional to 104,871 and 227,238 is: 492,386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,871 : 227,238 = 227,238 : x
  2. Step 2: Convert to fraction form
    104,871/227,238 = 227,238/x
  3. Step 3: Cross multiply
    104,871x = 227,238 × 227,238
  4. Step 4: Simplify right side
    104,871x = 51,637,108,644
  5. Step 5: Solve for x
    x = 51,637,108,644/104,871
  6. Step 6: Final answer
    x = 492,386.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.