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Finding the Third Proportional to 156,727 and 204,166

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Solution

The third proportional to 156,727 and 204,166 is: 265,964.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,727 : 204,166 = 204,166 : x
  2. Step 2: Convert to fraction form
    156,727/204,166 = 204,166/x
  3. Step 3: Cross multiply
    156,727x = 204,166 × 204,166
  4. Step 4: Simplify right side
    156,727x = 41,683,755,556
  5. Step 5: Solve for x
    x = 41,683,755,556/156,727
  6. Step 6: Final answer
    x = 265,964.10

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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.