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Finding the Third Proportional to 232,838 and 356,022

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Solution

The third proportional to 232,838 and 356,022 is: 544,377.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,838 : 356,022 = 356,022 : x
  2. Step 2: Convert to fraction form
    232,838/356,022 = 356,022/x
  3. Step 3: Cross multiply
    232,838x = 356,022 × 356,022
  4. Step 4: Simplify right side
    232,838x = 126,751,664,484
  5. Step 5: Solve for x
    x = 126,751,664,484/232,838
  6. Step 6: Final answer
    x = 544,377.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.