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Finding the Third Proportional to 194,096 and 424,176

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Solution

The third proportional to 194,096 and 424,176 is: 926,991.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,096 : 424,176 = 424,176 : x
  2. Step 2: Convert to fraction form
    194,096/424,176 = 424,176/x
  3. Step 3: Cross multiply
    194,096x = 424,176 × 424,176
  4. Step 4: Simplify right side
    194,096x = 179,925,278,976
  5. Step 5: Solve for x
    x = 179,925,278,976/194,096
  6. Step 6: Final answer
    x = 926,991.17

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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.