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Finding the Third Proportional to 156,167 and 338,560

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Solution

The third proportional to 156,167 and 338,560 is: 733,976.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,167 : 338,560 = 338,560 : x
  2. Step 2: Convert to fraction form
    156,167/338,560 = 338,560/x
  3. Step 3: Cross multiply
    156,167x = 338,560 × 338,560
  4. Step 4: Simplify right side
    156,167x = 114,622,873,600
  5. Step 5: Solve for x
    x = 114,622,873,600/156,167
  6. Step 6: Final answer
    x = 733,976.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.