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Finding the Third Proportional to 106,459 and 231,817

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Solution

The third proportional to 106,459 and 231,817 is: 504,787.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,459 : 231,817 = 231,817 : x
  2. Step 2: Convert to fraction form
    106,459/231,817 = 231,817/x
  3. Step 3: Cross multiply
    106,459x = 231,817 × 231,817
  4. Step 4: Simplify right side
    106,459x = 53,739,121,489
  5. Step 5: Solve for x
    x = 53,739,121,489/106,459
  6. Step 6: Final answer
    x = 504,787.02

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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.