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Finding the Third Proportional to 197,385.75 and 434,128.50

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Solution

The third proportional to 197,385.75 and 434,128.50 is: 954,818.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,385.75 : 434,128.50 = 434,128.50 : x
  2. Step 2: Convert to fraction form
    197,385.75/434,128.50 = 434,128.50/x
  3. Step 3: Cross multiply
    197,385.75x = 434,128.50 × 434,128.50
  4. Step 4: Simplify right side
    197,385.75x = 188,467,554,512.25
  5. Step 5: Solve for x
    x = 188,467,554,512.25/197,385.75
  6. Step 6: Final answer
    x = 954,818.44

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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.