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Finding the Third Proportional to 192,853 and 289,092

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Solution

The third proportional to 192,853 and 289,092 is: 433,356.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,853 : 289,092 = 289,092 : x
  2. Step 2: Convert to fraction form
    192,853/289,092 = 289,092/x
  3. Step 3: Cross multiply
    192,853x = 289,092 × 289,092
  4. Step 4: Simplify right side
    192,853x = 83,574,184,464
  5. Step 5: Solve for x
    x = 83,574,184,464/192,853
  6. Step 6: Final answer
    x = 433,356.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.