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Finding the Third Proportional to 192,024 and 258,504

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Solution

The third proportional to 192,024 and 258,504 is: 347,999.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,024 : 258,504 = 258,504 : x
  2. Step 2: Convert to fraction form
    192,024/258,504 = 258,504/x
  3. Step 3: Cross multiply
    192,024x = 258,504 × 258,504
  4. Step 4: Simplify right side
    192,024x = 66,824,318,016
  5. Step 5: Solve for x
    x = 66,824,318,016/192,024
  6. Step 6: Final answer
    x = 347,999.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.