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Finding the Third Proportional to 106,293 and 231,270

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Solution

The third proportional to 106,293 and 231,270 is: 503,192.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,293 : 231,270 = 231,270 : x
  2. Step 2: Convert to fraction form
    106,293/231,270 = 231,270/x
  3. Step 3: Cross multiply
    106,293x = 231,270 × 231,270
  4. Step 4: Simplify right side
    106,293x = 53,485,812,900
  5. Step 5: Solve for x
    x = 53,485,812,900/106,293
  6. Step 6: Final answer
    x = 503,192.24

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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.