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Finding the Third Proportional to 192,739.50 and 282,529.13

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Solution

The third proportional to 192,739.50 and 282,529.13 is: 414,148.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,739.50 : 282,529.13 = 282,529.13 : x
  2. Step 2: Convert to fraction form
    192,739.50/282,529.13 = 282,529.13/x
  3. Step 3: Cross multiply
    192,739.50x = 282,529.13 × 282,529.13
  4. Step 4: Simplify right side
    192,739.50x = 79,822,706,473.27
  5. Step 5: Solve for x
    x = 79,822,706,473.27/192,739.50
  6. Step 6: Final answer
    x = 414,148.15

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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.