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Finding the Third Proportional to 86,724 and 189,324

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Solution

The third proportional to 86,724 and 189,324 is: 413,306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,724 : 189,324 = 189,324 : x
  2. Step 2: Convert to fraction form
    86,724/189,324 = 189,324/x
  3. Step 3: Cross multiply
    86,724x = 189,324 × 189,324
  4. Step 4: Simplify right side
    86,724x = 35,843,576,976
  5. Step 5: Solve for x
    x = 35,843,576,976/86,724
  6. Step 6: Final answer
    x = 413,306.32

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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.