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Finding the Third Proportional to 232,280 and 327,111

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Solution

The third proportional to 232,280 and 327,111 is: 460,657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,280 : 327,111 = 327,111 : x
  2. Step 2: Convert to fraction form
    232,280/327,111 = 327,111/x
  3. Step 3: Cross multiply
    232,280x = 327,111 × 327,111
  4. Step 4: Simplify right side
    232,280x = 107,001,606,321
  5. Step 5: Solve for x
    x = 107,001,606,321/232,280
  6. Step 6: Final answer
    x = 460,657.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.