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Finding the Third Proportional to 197,114 and 305,826

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Solution

The third proportional to 197,114 and 305,826 is: 474,494.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,114 : 305,826 = 305,826 : x
  2. Step 2: Convert to fraction form
    197,114/305,826 = 305,826/x
  3. Step 3: Cross multiply
    197,114x = 305,826 × 305,826
  4. Step 4: Simplify right side
    197,114x = 93,529,542,276
  5. Step 5: Solve for x
    x = 93,529,542,276/197,114
  6. Step 6: Final answer
    x = 474,494.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.