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Finding the Third Proportional to 156,922 and 236,856

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Solution

The third proportional to 156,922 and 236,856 is: 357,507.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,922 : 236,856 = 236,856 : x
  2. Step 2: Convert to fraction form
    156,922/236,856 = 236,856/x
  3. Step 3: Cross multiply
    156,922x = 236,856 × 236,856
  4. Step 4: Simplify right side
    156,922x = 56,100,764,736
  5. Step 5: Solve for x
    x = 56,100,764,736/156,922
  6. Step 6: Final answer
    x = 357,507.33

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