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Finding the Third Proportional to 194,946 and 427,122

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Solution

The third proportional to 194,946 and 427,122 is: 935,814.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,946 : 427,122 = 427,122 : x
  2. Step 2: Convert to fraction form
    194,946/427,122 = 427,122/x
  3. Step 3: Cross multiply
    194,946x = 427,122 × 427,122
  4. Step 4: Simplify right side
    194,946x = 182,433,202,884
  5. Step 5: Solve for x
    x = 182,433,202,884/194,946
  6. Step 6: Final answer
    x = 935,814.04

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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.