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Finding the Third Proportional to 111,267 and 230,310

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Solution

The third proportional to 111,267 and 230,310 is: 476,715.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,267 : 230,310 = 230,310 : x
  2. Step 2: Convert to fraction form
    111,267/230,310 = 230,310/x
  3. Step 3: Cross multiply
    111,267x = 230,310 × 230,310
  4. Step 4: Simplify right side
    111,267x = 53,042,696,100
  5. Step 5: Solve for x
    x = 53,042,696,100/111,267
  6. Step 6: Final answer
    x = 476,715.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.