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Finding the Third Proportional to 155,784.25 and 338,906.38

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Solution

The third proportional to 155,784.25 and 338,906.38 is: 737,285.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,784.25 : 338,906.38 = 338,906.38 : x
  2. Step 2: Convert to fraction form
    155,784.25/338,906.38 = 338,906.38/x
  3. Step 3: Cross multiply
    155,784.25x = 338,906.38 × 338,906.38
  4. Step 4: Simplify right side
    155,784.25x = 114,857,531,015.64
  5. Step 5: Solve for x
    x = 114,857,531,015.64/155,784.25
  6. Step 6: Final answer
    x = 737,285.90

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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.