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Finding the Third Proportional to 201,168.38 and 373,806.75

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Solution

The third proportional to 201,168.38 and 373,806.75 is: 694,599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,168.38 : 373,806.75 = 373,806.75 : x
  2. Step 2: Convert to fraction form
    201,168.38/373,806.75 = 373,806.75/x
  3. Step 3: Cross multiply
    201,168.38x = 373,806.75 × 373,806.75
  4. Step 4: Simplify right side
    201,168.38x = 139,731,486,345.56
  5. Step 5: Solve for x
    x = 139,731,486,345.56/201,168.38
  6. Step 6: Final answer
    x = 694,599.67

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.