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Finding the Third Proportional to 197,412.50 and 281,352.75

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Solution

The third proportional to 197,412.50 and 281,352.75 is: 400,984.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,412.50 : 281,352.75 = 281,352.75 : x
  2. Step 2: Convert to fraction form
    197,412.50/281,352.75 = 281,352.75/x
  3. Step 3: Cross multiply
    197,412.50x = 281,352.75 × 281,352.75
  4. Step 4: Simplify right side
    197,412.50x = 79,159,369,932.56
  5. Step 5: Solve for x
    x = 79,159,369,932.56/197,412.50
  6. Step 6: Final answer
    x = 400,984.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.