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Finding the Third Proportional to 194,115 and 411,555

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Solution

The third proportional to 194,115 and 411,555 is: 872,562.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,115 : 411,555 = 411,555 : x
  2. Step 2: Convert to fraction form
    194,115/411,555 = 411,555/x
  3. Step 3: Cross multiply
    194,115x = 411,555 × 411,555
  4. Step 4: Simplify right side
    194,115x = 169,377,518,025
  5. Step 5: Solve for x
    x = 169,377,518,025/194,115
  6. Step 6: Final answer
    x = 872,562.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.