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Finding the Third Proportional to 232,751 and 355,895

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Solution

The third proportional to 232,751 and 355,895 is: 544,192.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,751 : 355,895 = 355,895 : x
  2. Step 2: Convert to fraction form
    232,751/355,895 = 355,895/x
  3. Step 3: Cross multiply
    232,751x = 355,895 × 355,895
  4. Step 4: Simplify right side
    232,751x = 126,661,251,025
  5. Step 5: Solve for x
    x = 126,661,251,025/232,751
  6. Step 6: Final answer
    x = 544,192.08

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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.