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Finding the Third Proportional to 230,231 and 355,181

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Solution

The third proportional to 230,231 and 355,181 is: 547,943.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,231 : 355,181 = 355,181 : x
  2. Step 2: Convert to fraction form
    230,231/355,181 = 355,181/x
  3. Step 3: Cross multiply
    230,231x = 355,181 × 355,181
  4. Step 4: Simplify right side
    230,231x = 126,153,542,761
  5. Step 5: Solve for x
    x = 126,153,542,761/230,231
  6. Step 6: Final answer
    x = 547,943.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.