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Finding the Third Proportional to 154,686 and 339,264

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Solution

The third proportional to 154,686 and 339,264 is: 744,088.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,686 : 339,264 = 339,264 : x
  2. Step 2: Convert to fraction form
    154,686/339,264 = 339,264/x
  3. Step 3: Cross multiply
    154,686x = 339,264 × 339,264
  4. Step 4: Simplify right side
    154,686x = 115,100,061,696
  5. Step 5: Solve for x
    x = 115,100,061,696/154,686
  6. Step 6: Final answer
    x = 744,088.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.