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Finding the Third Proportional to 166,333 and 260,586

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Solution

The third proportional to 166,333 and 260,586 is: 408,247.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,333 : 260,586 = 260,586 : x
  2. Step 2: Convert to fraction form
    166,333/260,586 = 260,586/x
  3. Step 3: Cross multiply
    166,333x = 260,586 × 260,586
  4. Step 4: Simplify right side
    166,333x = 67,905,063,396
  5. Step 5: Solve for x
    x = 67,905,063,396/166,333
  6. Step 6: Final answer
    x = 408,247.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.