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Finding the Third Proportional to 106,936 and 234,283

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Solution

The third proportional to 106,936 and 234,283 is: 513,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,936 : 234,283 = 234,283 : x
  2. Step 2: Convert to fraction form
    106,936/234,283 = 234,283/x
  3. Step 3: Cross multiply
    106,936x = 234,283 × 234,283
  4. Step 4: Simplify right side
    106,936x = 54,888,524,089
  5. Step 5: Solve for x
    x = 54,888,524,089/106,936
  6. Step 6: Final answer
    x = 513,283.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.