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Finding the Third Proportional to 188,093 and 288,044

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Solution

The third proportional to 188,093 and 288,044 is: 441,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,093 : 288,044 = 288,044 : x
  2. Step 2: Convert to fraction form
    188,093/288,044 = 288,044/x
  3. Step 3: Cross multiply
    188,093x = 288,044 × 288,044
  4. Step 4: Simplify right side
    188,093x = 82,969,345,936
  5. Step 5: Solve for x
    x = 82,969,345,936/188,093
  6. Step 6: Final answer
    x = 441,108.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.