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Finding the Third Proportional to 188,093 and 291,569

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Solution

The third proportional to 188,093 and 291,569 is: 451,970.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,093 : 291,569 = 291,569 : x
  2. Step 2: Convert to fraction form
    188,093/291,569 = 291,569/x
  3. Step 3: Cross multiply
    188,093x = 291,569 × 291,569
  4. Step 4: Simplify right side
    188,093x = 85,012,481,761
  5. Step 5: Solve for x
    x = 85,012,481,761/188,093
  6. Step 6: Final answer
    x = 451,970.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.