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Finding the Third Proportional to 164,120 and 356,251

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Solution

The third proportional to 164,120 and 356,251 is: 773,304.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,120 : 356,251 = 356,251 : x
  2. Step 2: Convert to fraction form
    164,120/356,251 = 356,251/x
  3. Step 3: Cross multiply
    164,120x = 356,251 × 356,251
  4. Step 4: Simplify right side
    164,120x = 126,914,775,001
  5. Step 5: Solve for x
    x = 126,914,775,001/164,120
  6. Step 6: Final answer
    x = 773,304.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.