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Finding the Third Proportional to 155,874 and 337,980

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Solution

The third proportional to 155,874 and 337,980 is: 732,838.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,874 : 337,980 = 337,980 : x
  2. Step 2: Convert to fraction form
    155,874/337,980 = 337,980/x
  3. Step 3: Cross multiply
    155,874x = 337,980 × 337,980
  4. Step 4: Simplify right side
    155,874x = 114,230,480,400
  5. Step 5: Solve for x
    x = 114,230,480,400/155,874
  6. Step 6: Final answer
    x = 732,838.58

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