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Finding the Third Proportional to 197,360 and 434,086

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Solution

The third proportional to 197,360 and 434,086 is: 954,756.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,360 : 434,086 = 434,086 : x
  2. Step 2: Convert to fraction form
    197,360/434,086 = 434,086/x
  3. Step 3: Cross multiply
    197,360x = 434,086 × 434,086
  4. Step 4: Simplify right side
    197,360x = 188,430,655,396
  5. Step 5: Solve for x
    x = 188,430,655,396/197,360
  6. Step 6: Final answer
    x = 954,756.06

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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.