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Finding the Third Proportional to 197,397 and 434,148

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Solution

The third proportional to 197,397 and 434,148 is: 954,849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,397 : 434,148 = 434,148 : x
  2. Step 2: Convert to fraction form
    197,397/434,148 = 434,148/x
  3. Step 3: Cross multiply
    197,397x = 434,148 × 434,148
  4. Step 4: Simplify right side
    197,397x = 188,484,485,904
  5. Step 5: Solve for x
    x = 188,484,485,904/197,397
  6. Step 6: Final answer
    x = 954,849.80

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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.