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Finding the Third Proportional to 172,512 and 258,048

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Solution

The third proportional to 172,512 and 258,048 is: 385,995.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,512 : 258,048 = 258,048 : x
  2. Step 2: Convert to fraction form
    172,512/258,048 = 258,048/x
  3. Step 3: Cross multiply
    172,512x = 258,048 × 258,048
  4. Step 4: Simplify right side
    172,512x = 66,588,770,304
  5. Step 5: Solve for x
    x = 66,588,770,304/172,512
  6. Step 6: Final answer
    x = 385,995.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.