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Finding the Third Proportional to 166,978 and 347,748

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Solution

The third proportional to 166,978 and 347,748 is: 724,219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,978 : 347,748 = 347,748 : x
  2. Step 2: Convert to fraction form
    166,978/347,748 = 347,748/x
  3. Step 3: Cross multiply
    166,978x = 347,748 × 347,748
  4. Step 4: Simplify right side
    166,978x = 120,928,671,504
  5. Step 5: Solve for x
    x = 120,928,671,504/166,978
  6. Step 6: Final answer
    x = 724,219.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.