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Finding the Third Proportional to 156,776 and 234,794

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Solution

The third proportional to 156,776 and 234,794 is: 351,636.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,776 : 234,794 = 234,794 : x
  2. Step 2: Convert to fraction form
    156,776/234,794 = 234,794/x
  3. Step 3: Cross multiply
    156,776x = 234,794 × 234,794
  4. Step 4: Simplify right side
    156,776x = 55,128,222,436
  5. Step 5: Solve for x
    x = 55,128,222,436/156,776
  6. Step 6: Final answer
    x = 351,636.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.