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Finding the Third Proportional to 198,193 and 435,746

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Solution

The third proportional to 198,193 and 435,746 is: 958,028.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,193 : 435,746 = 435,746 : x
  2. Step 2: Convert to fraction form
    198,193/435,746 = 435,746/x
  3. Step 3: Cross multiply
    198,193x = 435,746 × 435,746
  4. Step 4: Simplify right side
    198,193x = 189,874,576,516
  5. Step 5: Solve for x
    x = 189,874,576,516/198,193
  6. Step 6: Final answer
    x = 958,028.67

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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.