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Finding the Third Proportional to 232,890 and 356,124

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Solution

The third proportional to 232,890 and 356,124 is: 544,567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,890 : 356,124 = 356,124 : x
  2. Step 2: Convert to fraction form
    232,890/356,124 = 356,124/x
  3. Step 3: Cross multiply
    232,890x = 356,124 × 356,124
  4. Step 4: Simplify right side
    232,890x = 126,824,303,376
  5. Step 5: Solve for x
    x = 126,824,303,376/232,890
  6. Step 6: Final answer
    x = 544,567.41

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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.