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Finding the Third Proportional to 232,846 and 355,951

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Solution

The third proportional to 232,846 and 355,951 is: 544,141.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,846 : 355,951 = 355,951 : x
  2. Step 2: Convert to fraction form
    232,846/355,951 = 355,951/x
  3. Step 3: Cross multiply
    232,846x = 355,951 × 355,951
  4. Step 4: Simplify right side
    232,846x = 126,701,114,401
  5. Step 5: Solve for x
    x = 126,701,114,401/232,846
  6. Step 6: Final answer
    x = 544,141.25

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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.