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Finding the Third Proportional to 105,327 and 219,405

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Solution

The third proportional to 105,327 and 219,405 is: 457,039.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,327 : 219,405 = 219,405 : x
  2. Step 2: Convert to fraction form
    105,327/219,405 = 219,405/x
  3. Step 3: Cross multiply
    105,327x = 219,405 × 219,405
  4. Step 4: Simplify right side
    105,327x = 48,138,554,025
  5. Step 5: Solve for x
    x = 48,138,554,025/105,327
  6. Step 6: Final answer
    x = 457,039.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.