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Finding the Third Proportional to 194,615.44 and 427,570.88

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Solution

The third proportional to 194,615.44 and 427,570.88 is: 939,374.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,615.44 : 427,570.88 = 427,570.88 : x
  2. Step 2: Convert to fraction form
    194,615.44/427,570.88 = 427,570.88/x
  3. Step 3: Cross multiply
    194,615.44x = 427,570.88 × 427,570.88
  4. Step 4: Simplify right side
    194,615.44x = 182,816,853,148.27
  5. Step 5: Solve for x
    x = 182,816,853,148.27/194,615.44
  6. Step 6: Final answer
    x = 939,374.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.