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Finding the Third Proportional to 192,582 and 288,908

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Solution

The third proportional to 192,582 and 288,908 is: 433,414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,582 : 288,908 = 288,908 : x
  2. Step 2: Convert to fraction form
    192,582/288,908 = 288,908/x
  3. Step 3: Cross multiply
    192,582x = 288,908 × 288,908
  4. Step 4: Simplify right side
    192,582x = 83,467,832,464
  5. Step 5: Solve for x
    x = 83,467,832,464/192,582
  6. Step 6: Final answer
    x = 433,414.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.