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Finding the Third Proportional to 232,812 and 369,265

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Solution

The third proportional to 232,812 and 369,265 is: 585,694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,812 : 369,265 = 369,265 : x
  2. Step 2: Convert to fraction form
    232,812/369,265 = 369,265/x
  3. Step 3: Cross multiply
    232,812x = 369,265 × 369,265
  4. Step 4: Simplify right side
    232,812x = 136,356,640,225
  5. Step 5: Solve for x
    x = 136,356,640,225/232,812
  6. Step 6: Final answer
    x = 585,694.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.