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Finding the Third Proportional to 196,627.50 and 300,672

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Solution

The third proportional to 196,627.50 and 300,672 is: 459,771.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,627.50 : 300,672 = 300,672 : x
  2. Step 2: Convert to fraction form
    196,627.50/300,672 = 300,672/x
  3. Step 3: Cross multiply
    196,627.50x = 300,672 × 300,672
  4. Step 4: Simplify right side
    196,627.50x = 90,403,651,584
  5. Step 5: Solve for x
    x = 90,403,651,584/196,627.50
  6. Step 6: Final answer
    x = 459,771.15

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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.