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Finding the Third Proportional to 191,294 and 280,797

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Solution

The third proportional to 191,294 and 280,797 is: 412,176.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,294 : 280,797 = 280,797 : x
  2. Step 2: Convert to fraction form
    191,294/280,797 = 280,797/x
  3. Step 3: Cross multiply
    191,294x = 280,797 × 280,797
  4. Step 4: Simplify right side
    191,294x = 78,846,955,209
  5. Step 5: Solve for x
    x = 78,846,955,209/191,294
  6. Step 6: Final answer
    x = 412,176.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.