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Finding the Third Proportional to 306,867 and 370,837.50

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Solution

The third proportional to 306,867 and 370,837.50 is: 448,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,867 : 370,837.50 = 370,837.50 : x
  2. Step 2: Convert to fraction form
    306,867/370,837.50 = 370,837.50/x
  3. Step 3: Cross multiply
    306,867x = 370,837.50 × 370,837.50
  4. Step 4: Simplify right side
    306,867x = 137,520,451,406.25
  5. Step 5: Solve for x
    x = 137,520,451,406.25/306,867
  6. Step 6: Final answer
    x = 448,143.50

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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.