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Finding the Third Proportional to 156,737 and 204,181

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Solution

The third proportional to 156,737 and 204,181 is: 265,986.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,737 : 204,181 = 204,181 : x
  2. Step 2: Convert to fraction form
    156,737/204,181 = 204,181/x
  3. Step 3: Cross multiply
    156,737x = 204,181 × 204,181
  4. Step 4: Simplify right side
    156,737x = 41,689,880,761
  5. Step 5: Solve for x
    x = 41,689,880,761/156,737
  6. Step 6: Final answer
    x = 265,986.21

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.