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Finding the Third Proportional to 191,664 and 280,524

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Solution

The third proportional to 191,664 and 280,524 is: 410,581.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,664 : 280,524 = 280,524 : x
  2. Step 2: Convert to fraction form
    191,664/280,524 = 280,524/x
  3. Step 3: Cross multiply
    191,664x = 280,524 × 280,524
  4. Step 4: Simplify right side
    191,664x = 78,693,714,576
  5. Step 5: Solve for x
    x = 78,693,714,576/191,664
  6. Step 6: Final answer
    x = 410,581.61

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