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Finding the Third Proportional to 192,788 and 288,046

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Solution

The third proportional to 192,788 and 288,046 is: 430,371.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,788 : 288,046 = 288,046 : x
  2. Step 2: Convert to fraction form
    192,788/288,046 = 288,046/x
  3. Step 3: Cross multiply
    192,788x = 288,046 × 288,046
  4. Step 4: Simplify right side
    192,788x = 82,970,498,116
  5. Step 5: Solve for x
    x = 82,970,498,116/192,788
  6. Step 6: Final answer
    x = 430,371.69

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