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Finding the Third Proportional to 156,683 and 238,697

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Solution

The third proportional to 156,683 and 238,697 is: 363,640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,683 : 238,697 = 238,697 : x
  2. Step 2: Convert to fraction form
    156,683/238,697 = 238,697/x
  3. Step 3: Cross multiply
    156,683x = 238,697 × 238,697
  4. Step 4: Simplify right side
    156,683x = 56,976,257,809
  5. Step 5: Solve for x
    x = 56,976,257,809/156,683
  6. Step 6: Final answer
    x = 363,640.33

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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.