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Finding the Third Proportional to 105,834 and 226,395

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Solution

The third proportional to 105,834 and 226,395 is: 484,293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,834 : 226,395 = 226,395 : x
  2. Step 2: Convert to fraction form
    105,834/226,395 = 226,395/x
  3. Step 3: Cross multiply
    105,834x = 226,395 × 226,395
  4. Step 4: Simplify right side
    105,834x = 51,254,696,025
  5. Step 5: Solve for x
    x = 51,254,696,025/105,834
  6. Step 6: Final answer
    x = 484,293.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.