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Finding the Third Proportional to 106,351 and 232,021

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Solution

The third proportional to 106,351 and 232,021 is: 506,189.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,351 : 232,021 = 232,021 : x
  2. Step 2: Convert to fraction form
    106,351/232,021 = 232,021/x
  3. Step 3: Cross multiply
    106,351x = 232,021 × 232,021
  4. Step 4: Simplify right side
    106,351x = 53,833,744,441
  5. Step 5: Solve for x
    x = 53,833,744,441/106,351
  6. Step 6: Final answer
    x = 506,189.36

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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.