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Finding the Third Proportional to 193,938.56 and 426,757.13

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Solution

The third proportional to 193,938.56 and 426,757.13 is: 939,068.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,938.56 : 426,757.13 = 426,757.13 : x
  2. Step 2: Convert to fraction form
    193,938.56/426,757.13 = 426,757.13/x
  3. Step 3: Cross multiply
    193,938.56x = 426,757.13 × 426,757.13
  4. Step 4: Simplify right side
    193,938.56x = 182,121,643,738.27
  5. Step 5: Solve for x
    x = 182,121,643,738.27/193,938.56
  6. Step 6: Final answer
    x = 939,068.75

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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.