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Finding the Third Proportional to 191,096 and 408,976

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Solution

The third proportional to 191,096 and 408,976 is: 875,274.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,096 : 408,976 = 408,976 : x
  2. Step 2: Convert to fraction form
    191,096/408,976 = 408,976/x
  3. Step 3: Cross multiply
    191,096x = 408,976 × 408,976
  4. Step 4: Simplify right side
    191,096x = 167,261,368,576
  5. Step 5: Solve for x
    x = 167,261,368,576/191,096
  6. Step 6: Final answer
    x = 875,274.04

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.