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Finding the Third Proportional to 86,298 and 192,684

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Solution

The third proportional to 86,298 and 192,684 is: 430,219.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,298 : 192,684 = 192,684 : x
  2. Step 2: Convert to fraction form
    86,298/192,684 = 192,684/x
  3. Step 3: Cross multiply
    86,298x = 192,684 × 192,684
  4. Step 4: Simplify right side
    86,298x = 37,127,123,856
  5. Step 5: Solve for x
    x = 37,127,123,856/86,298
  6. Step 6: Final answer
    x = 430,219.98

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.