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Finding the Third Proportional to 139,766.75 and 301,663.25

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Solution

The third proportional to 139,766.75 and 301,663.25 is: 651,089.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,766.75 : 301,663.25 = 301,663.25 : x
  2. Step 2: Convert to fraction form
    139,766.75/301,663.25 = 301,663.25/x
  3. Step 3: Cross multiply
    139,766.75x = 301,663.25 × 301,663.25
  4. Step 4: Simplify right side
    139,766.75x = 91,000,716,400.56
  5. Step 5: Solve for x
    x = 91,000,716,400.56/139,766.75
  6. Step 6: Final answer
    x = 651,089.88

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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.