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Finding the Third Proportional to 188,001 and 291,246

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Solution

The third proportional to 188,001 and 291,246 is: 451,190.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,001 : 291,246 = 291,246 : x
  2. Step 2: Convert to fraction form
    188,001/291,246 = 291,246/x
  3. Step 3: Cross multiply
    188,001x = 291,246 × 291,246
  4. Step 4: Simplify right side
    188,001x = 84,824,232,516
  5. Step 5: Solve for x
    x = 84,824,232,516/188,001
  6. Step 6: Final answer
    x = 451,190.33

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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.