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Finding the Third Proportional to 106,893 and 230,736

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Solution

The third proportional to 106,893 and 230,736 is: 498,059.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,893 : 230,736 = 230,736 : x
  2. Step 2: Convert to fraction form
    106,893/230,736 = 230,736/x
  3. Step 3: Cross multiply
    106,893x = 230,736 × 230,736
  4. Step 4: Simplify right side
    106,893x = 53,239,101,696
  5. Step 5: Solve for x
    x = 53,239,101,696/106,893
  6. Step 6: Final answer
    x = 498,059.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.