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Finding the Third Proportional to 188,009 and 291,257

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Solution

The third proportional to 188,009 and 291,257 is: 451,205.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,009 : 291,257 = 291,257 : x
  2. Step 2: Convert to fraction form
    188,009/291,257 = 291,257/x
  3. Step 3: Cross multiply
    188,009x = 291,257 × 291,257
  4. Step 4: Simplify right side
    188,009x = 84,830,640,049
  5. Step 5: Solve for x
    x = 84,830,640,049/188,009
  6. Step 6: Final answer
    x = 451,205.21

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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.