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Finding the Third Proportional to 194,925 and 427,077

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Solution

The third proportional to 194,925 and 427,077 is: 935,717.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,925 : 427,077 = 427,077 : x
  2. Step 2: Convert to fraction form
    194,925/427,077 = 427,077/x
  3. Step 3: Cross multiply
    194,925x = 427,077 × 427,077
  4. Step 4: Simplify right side
    194,925x = 182,394,763,929
  5. Step 5: Solve for x
    x = 182,394,763,929/194,925
  6. Step 6: Final answer
    x = 935,717.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.