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Finding the Third Proportional to 113,474 and 188,463

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Solution

The third proportional to 113,474 and 188,463 is: 313,008.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,474 : 188,463 = 188,463 : x
  2. Step 2: Convert to fraction form
    113,474/188,463 = 188,463/x
  3. Step 3: Cross multiply
    113,474x = 188,463 × 188,463
  4. Step 4: Simplify right side
    113,474x = 35,518,302,369
  5. Step 5: Solve for x
    x = 35,518,302,369/113,474
  6. Step 6: Final answer
    x = 313,008.29

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.