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Finding the Third Proportional to 192,786 and 288,045

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Solution

The third proportional to 192,786 and 288,045 is: 430,373.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,786 : 288,045 = 288,045 : x
  2. Step 2: Convert to fraction form
    192,786/288,045 = 288,045/x
  3. Step 3: Cross multiply
    192,786x = 288,045 × 288,045
  4. Step 4: Simplify right side
    192,786x = 82,969,922,025
  5. Step 5: Solve for x
    x = 82,969,922,025/192,786
  6. Step 6: Final answer
    x = 430,373.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.