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Finding the Third Proportional to 194,940 and 425,112

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Solution

The third proportional to 194,940 and 425,112 is: 927,055.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,940 : 425,112 = 425,112 : x
  2. Step 2: Convert to fraction form
    194,940/425,112 = 425,112/x
  3. Step 3: Cross multiply
    194,940x = 425,112 × 425,112
  4. Step 4: Simplify right side
    194,940x = 180,720,212,544
  5. Step 5: Solve for x
    x = 180,720,212,544/194,940
  6. Step 6: Final answer
    x = 927,055.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.