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Finding the Third Proportional to 189,213.38 and 315,343.31

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Solution

The third proportional to 189,213.38 and 315,343.31 is: 525,551.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,213.38 : 315,343.31 = 315,343.31 : x
  2. Step 2: Convert to fraction form
    189,213.38/315,343.31 = 315,343.31/x
  3. Step 3: Cross multiply
    189,213.38x = 315,343.31 × 315,343.31
  4. Step 4: Simplify right side
    189,213.38x = 99,441,404,738.47
  5. Step 5: Solve for x
    x = 99,441,404,738.47/189,213.38
  6. Step 6: Final answer
    x = 525,551.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.