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Finding the Third Proportional to 196,745.63 and 295,114.50

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Solution

The third proportional to 196,745.63 and 295,114.50 is: 442,665.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,745.63 : 295,114.50 = 295,114.50 : x
  2. Step 2: Convert to fraction form
    196,745.63/295,114.50 = 295,114.50/x
  3. Step 3: Cross multiply
    196,745.63x = 295,114.50 × 295,114.50
  4. Step 4: Simplify right side
    196,745.63x = 87,092,568,110.25
  5. Step 5: Solve for x
    x = 87,092,568,110.25/196,745.63
  6. Step 6: Final answer
    x = 442,665.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.