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Finding the Third Proportional to 197,770.50 and 409,551

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Solution

The third proportional to 197,770.50 and 409,551 is: 848,114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,770.50 : 409,551 = 409,551 : x
  2. Step 2: Convert to fraction form
    197,770.50/409,551 = 409,551/x
  3. Step 3: Cross multiply
    197,770.50x = 409,551 × 409,551
  4. Step 4: Simplify right side
    197,770.50x = 167,732,021,601
  5. Step 5: Solve for x
    x = 167,732,021,601/197,770.50
  6. Step 6: Final answer
    x = 848,114.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.