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Finding the Third Proportional to 192,300 and 417,048

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Solution

The third proportional to 192,300 and 417,048 is: 904,467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,300 : 417,048 = 417,048 : x
  2. Step 2: Convert to fraction form
    192,300/417,048 = 417,048/x
  3. Step 3: Cross multiply
    192,300x = 417,048 × 417,048
  4. Step 4: Simplify right side
    192,300x = 173,929,034,304
  5. Step 5: Solve for x
    x = 173,929,034,304/192,300
  6. Step 6: Final answer
    x = 904,467.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.