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Finding the Third Proportional to 156,382 and 251,794

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Solution

The third proportional to 156,382 and 251,794 is: 405,418.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,382 : 251,794 = 251,794 : x
  2. Step 2: Convert to fraction form
    156,382/251,794 = 251,794/x
  3. Step 3: Cross multiply
    156,382x = 251,794 × 251,794
  4. Step 4: Simplify right side
    156,382x = 63,400,218,436
  5. Step 5: Solve for x
    x = 63,400,218,436/156,382
  6. Step 6: Final answer
    x = 405,418.90

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