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Finding the Third Proportional to 134,899 and 194,313

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Solution

The third proportional to 134,899 and 194,313 is: 279,894.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,899 : 194,313 = 194,313 : x
  2. Step 2: Convert to fraction form
    134,899/194,313 = 194,313/x
  3. Step 3: Cross multiply
    134,899x = 194,313 × 194,313
  4. Step 4: Simplify right side
    134,899x = 37,757,541,969
  5. Step 5: Solve for x
    x = 37,757,541,969/134,899
  6. Step 6: Final answer
    x = 279,894.90

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.