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Finding the Third Proportional to 166,509 and 271,848

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Solution

The third proportional to 166,509 and 271,848 is: 443,827.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,509 : 271,848 = 271,848 : x
  2. Step 2: Convert to fraction form
    166,509/271,848 = 271,848/x
  3. Step 3: Cross multiply
    166,509x = 271,848 × 271,848
  4. Step 4: Simplify right side
    166,509x = 73,901,335,104
  5. Step 5: Solve for x
    x = 73,901,335,104/166,509
  6. Step 6: Final answer
    x = 443,827.87

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.