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Finding the Third Proportional to 90,442 and 188,948

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Solution

The third proportional to 90,442 and 188,948 is: 394,743.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,442 : 188,948 = 188,948 : x
  2. Step 2: Convert to fraction form
    90,442/188,948 = 188,948/x
  3. Step 3: Cross multiply
    90,442x = 188,948 × 188,948
  4. Step 4: Simplify right side
    90,442x = 35,701,346,704
  5. Step 5: Solve for x
    x = 35,701,346,704/90,442
  6. Step 6: Final answer
    x = 394,743.00

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.