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Finding the Third Proportional to 155,790 and 338,917

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Solution

The third proportional to 155,790 and 338,917 is: 737,304.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,790 : 338,917 = 338,917 : x
  2. Step 2: Convert to fraction form
    155,790/338,917 = 338,917/x
  3. Step 3: Cross multiply
    155,790x = 338,917 × 338,917
  4. Step 4: Simplify right side
    155,790x = 114,864,732,889
  5. Step 5: Solve for x
    x = 114,864,732,889/155,790
  6. Step 6: Final answer
    x = 737,304.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.