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Finding the Third Proportional to 232,718 and 355,845

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Solution

The third proportional to 232,718 and 355,845 is: 544,116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,718 : 355,845 = 355,845 : x
  2. Step 2: Convert to fraction form
    232,718/355,845 = 355,845/x
  3. Step 3: Cross multiply
    232,718x = 355,845 × 355,845
  4. Step 4: Simplify right side
    232,718x = 126,625,664,025
  5. Step 5: Solve for x
    x = 126,625,664,025/232,718
  6. Step 6: Final answer
    x = 544,116.33

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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.