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Finding the Third Proportional to 195,552 and 305,016

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Solution

The third proportional to 195,552 and 305,016 is: 475,754.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,552 : 305,016 = 305,016 : x
  2. Step 2: Convert to fraction form
    195,552/305,016 = 305,016/x
  3. Step 3: Cross multiply
    195,552x = 305,016 × 305,016
  4. Step 4: Simplify right side
    195,552x = 93,034,760,256
  5. Step 5: Solve for x
    x = 93,034,760,256/195,552
  6. Step 6: Final answer
    x = 475,754.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.