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Finding the Third Proportional to 137,419 and 301,932

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Solution

The third proportional to 137,419 and 301,932 is: 663,393.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,419 : 301,932 = 301,932 : x
  2. Step 2: Convert to fraction form
    137,419/301,932 = 301,932/x
  3. Step 3: Cross multiply
    137,419x = 301,932 × 301,932
  4. Step 4: Simplify right side
    137,419x = 91,162,932,624
  5. Step 5: Solve for x
    x = 91,162,932,624/137,419
  6. Step 6: Final answer
    x = 663,393.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.