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Finding the Third Proportional to 43,483 and 100,270

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Solution

The third proportional to 43,483 and 100,270 is: 231,218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,483 : 100,270 = 100,270 : x
  2. Step 2: Convert to fraction form
    43,483/100,270 = 100,270/x
  3. Step 3: Cross multiply
    43,483x = 100,270 × 100,270
  4. Step 4: Simplify right side
    43,483x = 10,054,072,900
  5. Step 5: Solve for x
    x = 10,054,072,900/43,483
  6. Step 6: Final answer
    x = 231,218.47

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.