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Finding the Third Proportional to 197,384.50 and 299,769.50

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Solution

The third proportional to 197,384.50 and 299,769.50 is: 455,262.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,384.50 : 299,769.50 = 299,769.50 : x
  2. Step 2: Convert to fraction form
    197,384.50/299,769.50 = 299,769.50/x
  3. Step 3: Cross multiply
    197,384.50x = 299,769.50 × 299,769.50
  4. Step 4: Simplify right side
    197,384.50x = 89,861,753,130.25
  5. Step 5: Solve for x
    x = 89,861,753,130.25/197,384.50
  6. Step 6: Final answer
    x = 455,262.46

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.