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Finding the Third Proportional to 156,780 and 238,856

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Solution

The third proportional to 156,780 and 238,856 is: 363,899.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,780 : 238,856 = 238,856 : x
  2. Step 2: Convert to fraction form
    156,780/238,856 = 238,856/x
  3. Step 3: Cross multiply
    156,780x = 238,856 × 238,856
  4. Step 4: Simplify right side
    156,780x = 57,052,188,736
  5. Step 5: Solve for x
    x = 57,052,188,736/156,780
  6. Step 6: Final answer
    x = 363,899.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.