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Finding the Third Proportional to 194,778 and 419,148

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Solution

The third proportional to 194,778 and 419,148 is: 901,975.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,778 : 419,148 = 419,148 : x
  2. Step 2: Convert to fraction form
    194,778/419,148 = 419,148/x
  3. Step 3: Cross multiply
    194,778x = 419,148 × 419,148
  4. Step 4: Simplify right side
    194,778x = 175,685,045,904
  5. Step 5: Solve for x
    x = 175,685,045,904/194,778
  6. Step 6: Final answer
    x = 901,975.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.