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Finding the Third Proportional to 156,002 and 251,230

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Solution

The third proportional to 156,002 and 251,230 is: 404,587.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,002 : 251,230 = 251,230 : x
  2. Step 2: Convert to fraction form
    156,002/251,230 = 251,230/x
  3. Step 3: Cross multiply
    156,002x = 251,230 × 251,230
  4. Step 4: Simplify right side
    156,002x = 63,116,512,900
  5. Step 5: Solve for x
    x = 63,116,512,900/156,002
  6. Step 6: Final answer
    x = 404,587.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.