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Finding the Third Proportional to 197,299.50 and 426,132

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Solution

The third proportional to 197,299.50 and 426,132 is: 920,369.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,299.50 : 426,132 = 426,132 : x
  2. Step 2: Convert to fraction form
    197,299.50/426,132 = 426,132/x
  3. Step 3: Cross multiply
    197,299.50x = 426,132 × 426,132
  4. Step 4: Simplify right side
    197,299.50x = 181,588,481,424
  5. Step 5: Solve for x
    x = 181,588,481,424/197,299.50
  6. Step 6: Final answer
    x = 920,369.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.