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Finding the Third Proportional to 166,055 and 348,839

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Solution

The third proportional to 166,055 and 348,839 is: 732,821.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,055 : 348,839 = 348,839 : x
  2. Step 2: Convert to fraction form
    166,055/348,839 = 348,839/x
  3. Step 3: Cross multiply
    166,055x = 348,839 × 348,839
  4. Step 4: Simplify right side
    166,055x = 121,688,647,921
  5. Step 5: Solve for x
    x = 121,688,647,921/166,055
  6. Step 6: Final answer
    x = 732,821.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.