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Finding the Third Proportional to 258,761 and 356,320

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Solution

The third proportional to 258,761 and 356,320 is: 490,661.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,761 : 356,320 = 356,320 : x
  2. Step 2: Convert to fraction form
    258,761/356,320 = 356,320/x
  3. Step 3: Cross multiply
    258,761x = 356,320 × 356,320
  4. Step 4: Simplify right side
    258,761x = 126,963,942,400
  5. Step 5: Solve for x
    x = 126,963,942,400/258,761
  6. Step 6: Final answer
    x = 490,661.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.