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Finding the Third Proportional to 113,463 and 188,446

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Solution

The third proportional to 113,463 and 188,446 is: 312,982.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,463 : 188,446 = 188,446 : x
  2. Step 2: Convert to fraction form
    113,463/188,446 = 188,446/x
  3. Step 3: Cross multiply
    113,463x = 188,446 × 188,446
  4. Step 4: Simplify right side
    113,463x = 35,511,894,916
  5. Step 5: Solve for x
    x = 35,511,894,916/113,463
  6. Step 6: Final answer
    x = 312,982.16

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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.