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Finding the Third Proportional to 195,084 and 285,192

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Solution

The third proportional to 195,084 and 285,192 is: 416,920.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,084 : 285,192 = 285,192 : x
  2. Step 2: Convert to fraction form
    195,084/285,192 = 285,192/x
  3. Step 3: Cross multiply
    195,084x = 285,192 × 285,192
  4. Step 4: Simplify right side
    195,084x = 81,334,476,864
  5. Step 5: Solve for x
    x = 81,334,476,864/195,084
  6. Step 6: Final answer
    x = 416,920.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.