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Finding the Third Proportional to 192,741.75 and 282,538.13

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Solution

The third proportional to 192,741.75 and 282,538.13 is: 414,169.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,741.75 : 282,538.13 = 282,538.13 : x
  2. Step 2: Convert to fraction form
    192,741.75/282,538.13 = 282,538.13/x
  3. Step 3: Cross multiply
    192,741.75x = 282,538.13 × 282,538.13
  4. Step 4: Simplify right side
    192,741.75x = 79,827,792,078.52
  5. Step 5: Solve for x
    x = 79,827,792,078.52/192,741.75
  6. Step 6: Final answer
    x = 414,169.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.