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Finding the Third Proportional to 232,265.25 and 327,078

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Solution

The third proportional to 232,265.25 and 327,078 is: 460,594.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,265.25 : 327,078 = 327,078 : x
  2. Step 2: Convert to fraction form
    232,265.25/327,078 = 327,078/x
  3. Step 3: Cross multiply
    232,265.25x = 327,078 × 327,078
  4. Step 4: Simplify right side
    232,265.25x = 106,980,018,084
  5. Step 5: Solve for x
    x = 106,980,018,084/232,265.25
  6. Step 6: Final answer
    x = 460,594.16

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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.