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Finding the Third Proportional to 191,376 and 420,795

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Solution

The third proportional to 191,376 and 420,795 is: 925,238.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,376 : 420,795 = 420,795 : x
  2. Step 2: Convert to fraction form
    191,376/420,795 = 420,795/x
  3. Step 3: Cross multiply
    191,376x = 420,795 × 420,795
  4. Step 4: Simplify right side
    191,376x = 177,068,432,025
  5. Step 5: Solve for x
    x = 177,068,432,025/191,376
  6. Step 6: Final answer
    x = 925,238.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.