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Finding the Third Proportional to 86,728.50 and 189,333

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Solution

The third proportional to 86,728.50 and 189,333 is: 413,324.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,728.50 : 189,333 = 189,333 : x
  2. Step 2: Convert to fraction form
    86,728.50/189,333 = 189,333/x
  3. Step 3: Cross multiply
    86,728.50x = 189,333 × 189,333
  4. Step 4: Simplify right side
    86,728.50x = 35,846,984,889
  5. Step 5: Solve for x
    x = 35,846,984,889/86,728.50
  6. Step 6: Final answer
    x = 413,324.17

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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.