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Finding the Third Proportional to 138,485 and 226,112

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Solution

The third proportional to 138,485 and 226,112 is: 369,185.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,485 : 226,112 = 226,112 : x
  2. Step 2: Convert to fraction form
    138,485/226,112 = 226,112/x
  3. Step 3: Cross multiply
    138,485x = 226,112 × 226,112
  4. Step 4: Simplify right side
    138,485x = 51,126,636,544
  5. Step 5: Solve for x
    x = 51,126,636,544/138,485
  6. Step 6: Final answer
    x = 369,185.37

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.