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Finding the Third Proportional to 196,378.31 and 300,274.31

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Solution

The third proportional to 196,378.31 and 300,274.31 is: 459,137.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,378.31 : 300,274.31 = 300,274.31 : x
  2. Step 2: Convert to fraction form
    196,378.31/300,274.31 = 300,274.31/x
  3. Step 3: Cross multiply
    196,378.31x = 300,274.31 × 300,274.31
  4. Step 4: Simplify right side
    196,378.31x = 90,164,662,747.35
  5. Step 5: Solve for x
    x = 90,164,662,747.35/196,378.31
  6. Step 6: Final answer
    x = 459,137.58

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.