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Finding the Third Proportional to 105,276 and 230,234

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Solution

The third proportional to 105,276 and 230,234 is: 503,511.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,276 : 230,234 = 230,234 : x
  2. Step 2: Convert to fraction form
    105,276/230,234 = 230,234/x
  3. Step 3: Cross multiply
    105,276x = 230,234 × 230,234
  4. Step 4: Simplify right side
    105,276x = 53,007,694,756
  5. Step 5: Solve for x
    x = 53,007,694,756/105,276
  6. Step 6: Final answer
    x = 503,511.67

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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.