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Finding the Third Proportional to 107,082 and 233,238

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Solution

The third proportional to 107,082 and 233,238 is: 508,021.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,082 : 233,238 = 233,238 : x
  2. Step 2: Convert to fraction form
    107,082/233,238 = 233,238/x
  3. Step 3: Cross multiply
    107,082x = 233,238 × 233,238
  4. Step 4: Simplify right side
    107,082x = 54,399,964,644
  5. Step 5: Solve for x
    x = 54,399,964,644/107,082
  6. Step 6: Final answer
    x = 508,021.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.