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Finding the Third Proportional to 192,917 and 423,184

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Solution

The third proportional to 192,917 and 423,184 is: 928,299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,917 : 423,184 = 423,184 : x
  2. Step 2: Convert to fraction form
    192,917/423,184 = 423,184/x
  3. Step 3: Cross multiply
    192,917x = 423,184 × 423,184
  4. Step 4: Simplify right side
    192,917x = 179,084,697,856
  5. Step 5: Solve for x
    x = 179,084,697,856/192,917
  6. Step 6: Final answer
    x = 928,299.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.