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Finding the Third Proportional to 175,038 and 356,496

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Solution

The third proportional to 175,038 and 356,496 is: 726,067.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,038 : 356,496 = 356,496 : x
  2. Step 2: Convert to fraction form
    175,038/356,496 = 356,496/x
  3. Step 3: Cross multiply
    175,038x = 356,496 × 356,496
  4. Step 4: Simplify right side
    175,038x = 127,089,398,016
  5. Step 5: Solve for x
    x = 127,089,398,016/175,038
  6. Step 6: Final answer
    x = 726,067.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.