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Finding the Third Proportional to 156,927 and 322,126

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Solution

The third proportional to 156,927 and 322,126 is: 661,232.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,927 : 322,126 = 322,126 : x
  2. Step 2: Convert to fraction form
    156,927/322,126 = 322,126/x
  3. Step 3: Cross multiply
    156,927x = 322,126 × 322,126
  4. Step 4: Simplify right side
    156,927x = 103,765,159,876
  5. Step 5: Solve for x
    x = 103,765,159,876/156,927
  6. Step 6: Final answer
    x = 661,232.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.