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Finding the Third Proportional to 192,908 and 423,167

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Solution

The third proportional to 192,908 and 423,167 is: 928,267.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,908 : 423,167 = 423,167 : x
  2. Step 2: Convert to fraction form
    192,908/423,167 = 423,167/x
  3. Step 3: Cross multiply
    192,908x = 423,167 × 423,167
  4. Step 4: Simplify right side
    192,908x = 179,070,309,889
  5. Step 5: Solve for x
    x = 179,070,309,889/192,908
  6. Step 6: Final answer
    x = 928,267.93

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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.