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Finding the Third Proportional to 139,634 and 301,406

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Solution

The third proportional to 139,634 and 301,406 is: 650,597.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,634 : 301,406 = 301,406 : x
  2. Step 2: Convert to fraction form
    139,634/301,406 = 301,406/x
  3. Step 3: Cross multiply
    139,634x = 301,406 × 301,406
  4. Step 4: Simplify right side
    139,634x = 90,845,576,836
  5. Step 5: Solve for x
    x = 90,845,576,836/139,634
  6. Step 6: Final answer
    x = 650,597.83

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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.