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Finding the Third Proportional to 195,723 and 375,894

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Solution

The third proportional to 195,723 and 375,894 is: 721,919.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,723 : 375,894 = 375,894 : x
  2. Step 2: Convert to fraction form
    195,723/375,894 = 375,894/x
  3. Step 3: Cross multiply
    195,723x = 375,894 × 375,894
  4. Step 4: Simplify right side
    195,723x = 141,296,299,236
  5. Step 5: Solve for x
    x = 141,296,299,236/195,723
  6. Step 6: Final answer
    x = 721,919.75

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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.