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Finding the Third Proportional to 232,731 and 355,860

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Solution

The third proportional to 232,731 and 355,860 is: 544,131.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,731 : 355,860 = 355,860 : x
  2. Step 2: Convert to fraction form
    232,731/355,860 = 355,860/x
  3. Step 3: Cross multiply
    232,731x = 355,860 × 355,860
  4. Step 4: Simplify right side
    232,731x = 126,636,339,600
  5. Step 5: Solve for x
    x = 126,636,339,600/232,731
  6. Step 6: Final answer
    x = 544,131.81

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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.