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Finding the Third Proportional to 190,068 and 408,214

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Solution

The third proportional to 190,068 and 408,214 is: 876,731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,068 : 408,214 = 408,214 : x
  2. Step 2: Convert to fraction form
    190,068/408,214 = 408,214/x
  3. Step 3: Cross multiply
    190,068x = 408,214 × 408,214
  4. Step 4: Simplify right side
    190,068x = 166,638,669,796
  5. Step 5: Solve for x
    x = 166,638,669,796/190,068
  6. Step 6: Final answer
    x = 876,731.85

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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.