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Finding the Third Proportional to 199,557.38 and 301,409.44

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Solution

The third proportional to 199,557.38 and 301,409.44 is: 455,245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,557.38 : 301,409.44 = 301,409.44 : x
  2. Step 2: Convert to fraction form
    199,557.38/301,409.44 = 301,409.44/x
  3. Step 3: Cross multiply
    199,557.38x = 301,409.44 × 301,409.44
  4. Step 4: Simplify right side
    199,557.38x = 90,847,649,014.07
  5. Step 5: Solve for x
    x = 90,847,649,014.07/199,557.38
  6. Step 6: Final answer
    x = 455,245.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.