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Finding the Third Proportional to 194,090.25 and 422,352.38

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Solution

The third proportional to 194,090.25 and 422,352.38 is: 919,064.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,090.25 : 422,352.38 = 422,352.38 : x
  2. Step 2: Convert to fraction form
    194,090.25/422,352.38 = 422,352.38/x
  3. Step 3: Cross multiply
    194,090.25x = 422,352.38 × 422,352.38
  4. Step 4: Simplify right side
    194,090.25x = 178,381,528,668.14
  5. Step 5: Solve for x
    x = 178,381,528,668.14/194,090.25
  6. Step 6: Final answer
    x = 919,064.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.