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Finding the Third Proportional to 166,943 and 347,710

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Solution

The third proportional to 166,943 and 347,710 is: 724,212.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,943 : 347,710 = 347,710 : x
  2. Step 2: Convert to fraction form
    166,943/347,710 = 347,710/x
  3. Step 3: Cross multiply
    166,943x = 347,710 × 347,710
  4. Step 4: Simplify right side
    166,943x = 120,902,244,100
  5. Step 5: Solve for x
    x = 120,902,244,100/166,943
  6. Step 6: Final answer
    x = 724,212.72

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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.