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Finding the Third Proportional to 199,486.13 and 299,427.75

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Solution

The third proportional to 199,486.13 and 299,427.75 is: 449,439.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,486.13 : 299,427.75 = 299,427.75 : x
  2. Step 2: Convert to fraction form
    199,486.13/299,427.75 = 299,427.75/x
  3. Step 3: Cross multiply
    199,486.13x = 299,427.75 × 299,427.75
  4. Step 4: Simplify right side
    199,486.13x = 89,656,977,470.06
  5. Step 5: Solve for x
    x = 89,656,977,470.06/199,486.13
  6. Step 6: Final answer
    x = 449,439.67

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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.