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Finding the Third Proportional to 197,214 and 300,735

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Solution

The third proportional to 197,214 and 300,735 is: 458,595.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,214 : 300,735 = 300,735 : x
  2. Step 2: Convert to fraction form
    197,214/300,735 = 300,735/x
  3. Step 3: Cross multiply
    197,214x = 300,735 × 300,735
  4. Step 4: Simplify right side
    197,214x = 90,441,540,225
  5. Step 5: Solve for x
    x = 90,441,540,225/197,214
  6. Step 6: Final answer
    x = 458,595.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.