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Finding the Third Proportional to 196,367.41 and 300,262.41

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Solution

The third proportional to 196,367.41 and 300,262.41 is: 459,126.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,367.41 : 300,262.41 = 300,262.41 : x
  2. Step 2: Convert to fraction form
    196,367.41/300,262.41 = 300,262.41/x
  3. Step 3: Cross multiply
    196,367.41x = 300,262.41 × 300,262.41
  4. Step 4: Simplify right side
    196,367.41x = 90,157,516,125.74
  5. Step 5: Solve for x
    x = 90,157,516,125.74/196,367.41
  6. Step 6: Final answer
    x = 459,126.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.