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Finding the Third Proportional to 155,864 and 338,296

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Solution

The third proportional to 155,864 and 338,296 is: 734,256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,864 : 338,296 = 338,296 : x
  2. Step 2: Convert to fraction form
    155,864/338,296 = 338,296/x
  3. Step 3: Cross multiply
    155,864x = 338,296 × 338,296
  4. Step 4: Simplify right side
    155,864x = 114,444,183,616
  5. Step 5: Solve for x
    x = 114,444,183,616/155,864
  6. Step 6: Final answer
    x = 734,256.68

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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.