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Finding the Third Proportional to 195,003 and 285,120

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Solution

The third proportional to 195,003 and 285,120 is: 416,882.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,003 : 285,120 = 285,120 : x
  2. Step 2: Convert to fraction form
    195,003/285,120 = 285,120/x
  3. Step 3: Cross multiply
    195,003x = 285,120 × 285,120
  4. Step 4: Simplify right side
    195,003x = 81,293,414,400
  5. Step 5: Solve for x
    x = 81,293,414,400/195,003
  6. Step 6: Final answer
    x = 416,882.89

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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.