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Finding the Third Proportional to 196,845.75 and 305,384.63

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Solution

The third proportional to 196,845.75 and 305,384.63 is: 473,770.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,845.75 : 305,384.63 = 305,384.63 : x
  2. Step 2: Convert to fraction form
    196,845.75/305,384.63 = 305,384.63/x
  3. Step 3: Cross multiply
    196,845.75x = 305,384.63 × 305,384.63
  4. Step 4: Simplify right side
    196,845.75x = 93,259,769,186.39
  5. Step 5: Solve for x
    x = 93,259,769,186.39/196,845.75
  6. Step 6: Final answer
    x = 473,770.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.