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Finding the Third Proportional to 194,192 and 416,824

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Solution

The third proportional to 194,192 and 416,824 is: 894,693.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,192 : 416,824 = 416,824 : x
  2. Step 2: Convert to fraction form
    194,192/416,824 = 416,824/x
  3. Step 3: Cross multiply
    194,192x = 416,824 × 416,824
  4. Step 4: Simplify right side
    194,192x = 173,742,246,976
  5. Step 5: Solve for x
    x = 173,742,246,976/194,192
  6. Step 6: Final answer
    x = 894,693.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.