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Finding the Third Proportional to 191,240 and 280,092

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Solution

The third proportional to 191,240 and 280,092 is: 410,225.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,240 : 280,092 = 280,092 : x
  2. Step 2: Convert to fraction form
    191,240/280,092 = 280,092/x
  3. Step 3: Cross multiply
    191,240x = 280,092 × 280,092
  4. Step 4: Simplify right side
    191,240x = 78,451,528,464
  5. Step 5: Solve for x
    x = 78,451,528,464/191,240
  6. Step 6: Final answer
    x = 410,225.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.