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Finding the Third Proportional to 155,608 and 339,380

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Solution

The third proportional to 155,608 and 339,380 is: 740,185.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,608 : 339,380 = 339,380 : x
  2. Step 2: Convert to fraction form
    155,608/339,380 = 339,380/x
  3. Step 3: Cross multiply
    155,608x = 339,380 × 339,380
  4. Step 4: Simplify right side
    155,608x = 115,178,784,400
  5. Step 5: Solve for x
    x = 115,178,784,400/155,608
  6. Step 6: Final answer
    x = 740,185.49

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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.