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Finding the Third Proportional to 156,782 and 236,631

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Solution

The third proportional to 156,782 and 236,631 is: 357,147.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,782 : 236,631 = 236,631 : x
  2. Step 2: Convert to fraction form
    156,782/236,631 = 236,631/x
  3. Step 3: Cross multiply
    156,782x = 236,631 × 236,631
  4. Step 4: Simplify right side
    156,782x = 55,994,230,161
  5. Step 5: Solve for x
    x = 55,994,230,161/156,782
  6. Step 6: Final answer
    x = 357,147.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.