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Finding the Third Proportional to 219,092 and 313,084

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Solution

The third proportional to 219,092 and 313,084 is: 447,399.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,092 : 313,084 = 313,084 : x
  2. Step 2: Convert to fraction form
    219,092/313,084 = 313,084/x
  3. Step 3: Cross multiply
    219,092x = 313,084 × 313,084
  4. Step 4: Simplify right side
    219,092x = 98,021,591,056
  5. Step 5: Solve for x
    x = 98,021,591,056/219,092
  6. Step 6: Final answer
    x = 447,399.23

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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.