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Finding the Third Proportional to 188,467 and 291,449

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Solution

The third proportional to 188,467 and 291,449 is: 450,702.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,467 : 291,449 = 291,449 : x
  2. Step 2: Convert to fraction form
    188,467/291,449 = 291,449/x
  3. Step 3: Cross multiply
    188,467x = 291,449 × 291,449
  4. Step 4: Simplify right side
    188,467x = 84,942,519,601
  5. Step 5: Solve for x
    x = 84,942,519,601/188,467
  6. Step 6: Final answer
    x = 450,702.35

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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.