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Finding the Third Proportional to 156,776 and 238,446

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Solution

The third proportional to 156,776 and 238,446 is: 362,660.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,776 : 238,446 = 238,446 : x
  2. Step 2: Convert to fraction form
    156,776/238,446 = 238,446/x
  3. Step 3: Cross multiply
    156,776x = 238,446 × 238,446
  4. Step 4: Simplify right side
    156,776x = 56,856,494,916
  5. Step 5: Solve for x
    x = 56,856,494,916/156,776
  6. Step 6: Final answer
    x = 362,660.71

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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.