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Finding the Third Proportional to 139,287.75 and 300,742.50

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Solution

The third proportional to 139,287.75 and 300,742.50 is: 649,346.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,287.75 : 300,742.50 = 300,742.50 : x
  2. Step 2: Convert to fraction form
    139,287.75/300,742.50 = 300,742.50/x
  3. Step 3: Cross multiply
    139,287.75x = 300,742.50 × 300,742.50
  4. Step 4: Simplify right side
    139,287.75x = 90,446,051,306.25
  5. Step 5: Solve for x
    x = 90,446,051,306.25/139,287.75
  6. Step 6: Final answer
    x = 649,346.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.