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Finding the Third Proportional to 197,652 and 434,666

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Solution

The third proportional to 197,652 and 434,666 is: 955,894.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,652 : 434,666 = 434,666 : x
  2. Step 2: Convert to fraction form
    197,652/434,666 = 434,666/x
  3. Step 3: Cross multiply
    197,652x = 434,666 × 434,666
  4. Step 4: Simplify right side
    197,652x = 188,934,531,556
  5. Step 5: Solve for x
    x = 188,934,531,556/197,652
  6. Step 6: Final answer
    x = 955,894.86

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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.