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Finding the Third Proportional to 156,774 and 338,324

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Solution

The third proportional to 156,774 and 338,324 is: 730,115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,774 : 338,324 = 338,324 : x
  2. Step 2: Convert to fraction form
    156,774/338,324 = 338,324/x
  3. Step 3: Cross multiply
    156,774x = 338,324 × 338,324
  4. Step 4: Simplify right side
    156,774x = 114,463,128,976
  5. Step 5: Solve for x
    x = 114,463,128,976/156,774
  6. Step 6: Final answer
    x = 730,115.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.