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Finding the Third Proportional to 188,389.55 and 444,353.98

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Solution

The third proportional to 188,389.55 and 444,353.98 is: 1,048,096.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,389.55 : 444,353.98 = 444,353.98 : x
  2. Step 2: Convert to fraction form
    188,389.55/444,353.98 = 444,353.98/x
  3. Step 3: Cross multiply
    188,389.55x = 444,353.98 × 444,353.98
  4. Step 4: Simplify right side
    188,389.55x = 197,450,456,486.91
  5. Step 5: Solve for x
    x = 197,450,456,486.91/188,389.55
  6. Step 6: Final answer
    x = 1,048,096.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.