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Finding the Third Proportional to 197,395.25 and 294,777

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Solution

The third proportional to 197,395.25 and 294,777 is: 440,200.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,395.25 : 294,777 = 294,777 : x
  2. Step 2: Convert to fraction form
    197,395.25/294,777 = 294,777/x
  3. Step 3: Cross multiply
    197,395.25x = 294,777 × 294,777
  4. Step 4: Simplify right side
    197,395.25x = 86,893,479,729
  5. Step 5: Solve for x
    x = 86,893,479,729/197,395.25
  6. Step 6: Final answer
    x = 440,200.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.