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Finding the Third Proportional to 153,936 and 230,286

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Solution

The third proportional to 153,936 and 230,286 is: 344,504.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,936 : 230,286 = 230,286 : x
  2. Step 2: Convert to fraction form
    153,936/230,286 = 230,286/x
  3. Step 3: Cross multiply
    153,936x = 230,286 × 230,286
  4. Step 4: Simplify right side
    153,936x = 53,031,641,796
  5. Step 5: Solve for x
    x = 53,031,641,796/153,936
  6. Step 6: Final answer
    x = 344,504.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.