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Finding the Third Proportional to 188,187 and 402,622

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Solution

The third proportional to 188,187 and 402,622 is: 861,401.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,187 : 402,622 = 402,622 : x
  2. Step 2: Convert to fraction form
    188,187/402,622 = 402,622/x
  3. Step 3: Cross multiply
    188,187x = 402,622 × 402,622
  4. Step 4: Simplify right side
    188,187x = 162,104,474,884
  5. Step 5: Solve for x
    x = 162,104,474,884/188,187
  6. Step 6: Final answer
    x = 861,401.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.