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Finding the Third Proportional to 192,220 and 412,871

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Solution

The third proportional to 192,220 and 412,871 is: 886,809.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,220 : 412,871 = 412,871 : x
  2. Step 2: Convert to fraction form
    192,220/412,871 = 412,871/x
  3. Step 3: Cross multiply
    192,220x = 412,871 × 412,871
  4. Step 4: Simplify right side
    192,220x = 170,462,462,641
  5. Step 5: Solve for x
    x = 170,462,462,641/192,220
  6. Step 6: Final answer
    x = 886,809.19

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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.