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Finding the Third Proportional to 194,134 and 424,192

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Solution

The third proportional to 194,134 and 424,192 is: 926,879.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,134 : 424,192 = 424,192 : x
  2. Step 2: Convert to fraction form
    194,134/424,192 = 424,192/x
  3. Step 3: Cross multiply
    194,134x = 424,192 × 424,192
  4. Step 4: Simplify right side
    194,134x = 179,938,852,864
  5. Step 5: Solve for x
    x = 179,938,852,864/194,134
  6. Step 6: Final answer
    x = 926,879.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.