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Finding the Third Proportional to 166,889 and 347,584

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Solution

The third proportional to 166,889 and 347,584 is: 723,922.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,889 : 347,584 = 347,584 : x
  2. Step 2: Convert to fraction form
    166,889/347,584 = 347,584/x
  3. Step 3: Cross multiply
    166,889x = 347,584 × 347,584
  4. Step 4: Simplify right side
    166,889x = 120,814,637,056
  5. Step 5: Solve for x
    x = 120,814,637,056/166,889
  6. Step 6: Final answer
    x = 723,922.11

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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.