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Finding the Third Proportional to 199,395 and 306,485.44

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Solution

The third proportional to 199,395 and 306,485.44 is: 471,091.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,395 : 306,485.44 = 306,485.44 : x
  2. Step 2: Convert to fraction form
    199,395/306,485.44 = 306,485.44/x
  3. Step 3: Cross multiply
    199,395x = 306,485.44 × 306,485.44
  4. Step 4: Simplify right side
    199,395x = 93,933,323,399.57
  5. Step 5: Solve for x
    x = 93,933,323,399.57/199,395
  6. Step 6: Final answer
    x = 471,091.67

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.