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Finding the Third Proportional to 197,701.50 and 433,041

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Solution

The third proportional to 197,701.50 and 433,041 is: 948,523.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,701.50 : 433,041 = 433,041 : x
  2. Step 2: Convert to fraction form
    197,701.50/433,041 = 433,041/x
  3. Step 3: Cross multiply
    197,701.50x = 433,041 × 433,041
  4. Step 4: Simplify right side
    197,701.50x = 187,524,507,681
  5. Step 5: Solve for x
    x = 187,524,507,681/197,701.50
  6. Step 6: Final answer
    x = 948,523.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.