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Finding the Third Proportional to 194,967 and 414,531

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Solution

The third proportional to 194,967 and 414,531 is: 881,359.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,967 : 414,531 = 414,531 : x
  2. Step 2: Convert to fraction form
    194,967/414,531 = 414,531/x
  3. Step 3: Cross multiply
    194,967x = 414,531 × 414,531
  4. Step 4: Simplify right side
    194,967x = 171,835,949,961
  5. Step 5: Solve for x
    x = 171,835,949,961/194,967
  6. Step 6: Final answer
    x = 881,359.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.