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Finding the Third Proportional to 192,904 and 423,157

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Solution

The third proportional to 192,904 and 423,157 is: 928,243.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,904 : 423,157 = 423,157 : x
  2. Step 2: Convert to fraction form
    192,904/423,157 = 423,157/x
  3. Step 3: Cross multiply
    192,904x = 423,157 × 423,157
  4. Step 4: Simplify right side
    192,904x = 179,061,846,649
  5. Step 5: Solve for x
    x = 179,061,846,649/192,904
  6. Step 6: Final answer
    x = 928,243.31

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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.