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Finding the Third Proportional to 190,092 and 408,264

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Solution

The third proportional to 190,092 and 408,264 is: 876,835.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,092 : 408,264 = 408,264 : x
  2. Step 2: Convert to fraction form
    190,092/408,264 = 408,264/x
  3. Step 3: Cross multiply
    190,092x = 408,264 × 408,264
  4. Step 4: Simplify right side
    190,092x = 166,679,493,696
  5. Step 5: Solve for x
    x = 166,679,493,696/190,092
  6. Step 6: Final answer
    x = 876,835.92

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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.