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Finding the Third Proportional to 164,119 and 356,249

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Solution

The third proportional to 164,119 and 356,249 is: 773,300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,119 : 356,249 = 356,249 : x
  2. Step 2: Convert to fraction form
    164,119/356,249 = 356,249/x
  3. Step 3: Cross multiply
    164,119x = 356,249 × 356,249
  4. Step 4: Simplify right side
    164,119x = 126,913,350,001
  5. Step 5: Solve for x
    x = 126,913,350,001/164,119
  6. Step 6: Final answer
    x = 773,300.78

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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.