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Finding the Third Proportional to 86,834 and 189,220

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Solution

The third proportional to 86,834 and 189,220 is: 412,329.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,834 : 189,220 = 189,220 : x
  2. Step 2: Convert to fraction form
    86,834/189,220 = 189,220/x
  3. Step 3: Cross multiply
    86,834x = 189,220 × 189,220
  4. Step 4: Simplify right side
    86,834x = 35,804,208,400
  5. Step 5: Solve for x
    x = 35,804,208,400/86,834
  6. Step 6: Final answer
    x = 412,329.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.