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Finding the Third Proportional to 139,825 and 302,978

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Solution

The third proportional to 139,825 and 302,978 is: 656,503.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,825 : 302,978 = 302,978 : x
  2. Step 2: Convert to fraction form
    139,825/302,978 = 302,978/x
  3. Step 3: Cross multiply
    139,825x = 302,978 × 302,978
  4. Step 4: Simplify right side
    139,825x = 91,795,668,484
  5. Step 5: Solve for x
    x = 91,795,668,484/139,825
  6. Step 6: Final answer
    x = 656,503.98

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.