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Finding the Third Proportional to 197,797.50 and 435,933

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Solution

The third proportional to 197,797.50 and 435,933 is: 960,768.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,797.50 : 435,933 = 435,933 : x
  2. Step 2: Convert to fraction form
    197,797.50/435,933 = 435,933/x
  3. Step 3: Cross multiply
    197,797.50x = 435,933 × 435,933
  4. Step 4: Simplify right side
    197,797.50x = 190,037,580,489
  5. Step 5: Solve for x
    x = 190,037,580,489/197,797.50
  6. Step 6: Final answer
    x = 960,768.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.