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Finding the Third Proportional to 80,627 and 188,276

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Solution

The third proportional to 80,627 and 188,276 is: 439,652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,627 : 188,276 = 188,276 : x
  2. Step 2: Convert to fraction form
    80,627/188,276 = 188,276/x
  3. Step 3: Cross multiply
    80,627x = 188,276 × 188,276
  4. Step 4: Simplify right side
    80,627x = 35,447,852,176
  5. Step 5: Solve for x
    x = 35,447,852,176/80,627
  6. Step 6: Final answer
    x = 439,652.38

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.