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Finding the Third Proportional to 194,921 and 427,068

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Solution

The third proportional to 194,921 and 427,068 is: 935,697.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,921 : 427,068 = 427,068 : x
  2. Step 2: Convert to fraction form
    194,921/427,068 = 427,068/x
  3. Step 3: Cross multiply
    194,921x = 427,068 × 427,068
  4. Step 4: Simplify right side
    194,921x = 182,387,076,624
  5. Step 5: Solve for x
    x = 182,387,076,624/194,921
  6. Step 6: Final answer
    x = 935,697.42

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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.