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Finding the Third Proportional to 199,418.63 and 299,273.63

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Solution

The third proportional to 199,418.63 and 299,273.63 is: 449,129.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,418.63 : 299,273.63 = 299,273.63 : x
  2. Step 2: Convert to fraction form
    199,418.63/299,273.63 = 299,273.63/x
  3. Step 3: Cross multiply
    199,418.63x = 299,273.63 × 299,273.63
  4. Step 4: Simplify right side
    199,418.63x = 89,564,702,620.64
  5. Step 5: Solve for x
    x = 89,564,702,620.64/199,418.63
  6. Step 6: Final answer
    x = 449,129.08

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