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Finding the Third Proportional to 192,304.13 and 320,365.13

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Solution

The third proportional to 192,304.13 and 320,365.13 is: 533,705.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,304.13 : 320,365.13 = 320,365.13 : x
  2. Step 2: Convert to fraction form
    192,304.13/320,365.13 = 320,365.13/x
  3. Step 3: Cross multiply
    192,304.13x = 320,365.13 × 320,365.13
  4. Step 4: Simplify right side
    192,304.13x = 102,633,813,316.27
  5. Step 5: Solve for x
    x = 102,633,813,316.27/192,304.13
  6. Step 6: Final answer
    x = 533,705.73

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.