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Finding the Third Proportional to 196,316.44 and 311,363.72

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Solution

The third proportional to 196,316.44 and 311,363.72 is: 493,832.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,316.44 : 311,363.72 = 311,363.72 : x
  2. Step 2: Convert to fraction form
    196,316.44/311,363.72 = 311,363.72/x
  3. Step 3: Cross multiply
    196,316.44x = 311,363.72 × 311,363.72
  4. Step 4: Simplify right side
    196,316.44x = 96,947,365,353.83
  5. Step 5: Solve for x
    x = 96,947,365,353.83/196,316.44
  6. Step 6: Final answer
    x = 493,832.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.