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Finding the Third Proportional to 156,510 and 226,086

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Solution

The third proportional to 156,510 and 226,086 is: 326,591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,510 : 226,086 = 226,086 : x
  2. Step 2: Convert to fraction form
    156,510/226,086 = 226,086/x
  3. Step 3: Cross multiply
    156,510x = 226,086 × 226,086
  4. Step 4: Simplify right side
    156,510x = 51,114,879,396
  5. Step 5: Solve for x
    x = 51,114,879,396/156,510
  6. Step 6: Final answer
    x = 326,591.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.