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Finding the Third Proportional to 197,950.50 and 431,625

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Solution

The third proportional to 197,950.50 and 431,625 is: 941,145.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,950.50 : 431,625 = 431,625 : x
  2. Step 2: Convert to fraction form
    197,950.50/431,625 = 431,625/x
  3. Step 3: Cross multiply
    197,950.50x = 431,625 × 431,625
  4. Step 4: Simplify right side
    197,950.50x = 186,300,140,625
  5. Step 5: Solve for x
    x = 186,300,140,625/197,950.50
  6. Step 6: Final answer
    x = 941,145.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.