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Finding the Third Proportional to 219,096 and 313,092

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Solution

The third proportional to 219,096 and 313,092 is: 447,413.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,096 : 313,092 = 313,092 : x
  2. Step 2: Convert to fraction form
    219,096/313,092 = 313,092/x
  3. Step 3: Cross multiply
    219,096x = 313,092 × 313,092
  4. Step 4: Simplify right side
    219,096x = 98,026,600,464
  5. Step 5: Solve for x
    x = 98,026,600,464/219,096
  6. Step 6: Final answer
    x = 447,413.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.