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Finding the Third Proportional to 195,728 and 375,902

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Solution

The third proportional to 195,728 and 375,902 is: 721,932.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,728 : 375,902 = 375,902 : x
  2. Step 2: Convert to fraction form
    195,728/375,902 = 375,902/x
  3. Step 3: Cross multiply
    195,728x = 375,902 × 375,902
  4. Step 4: Simplify right side
    195,728x = 141,302,313,604
  5. Step 5: Solve for x
    x = 141,302,313,604/195,728
  6. Step 6: Final answer
    x = 721,932.04

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.