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Finding the Third Proportional to 148,990.50 and 317,185.88

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Solution

The third proportional to 148,990.50 and 317,185.88 is: 675,257.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,990.50 : 317,185.88 = 317,185.88 : x
  2. Step 2: Convert to fraction form
    148,990.50/317,185.88 = 317,185.88/x
  3. Step 3: Cross multiply
    148,990.50x = 317,185.88 × 317,185.88
  4. Step 4: Simplify right side
    148,990.50x = 100,606,879,299.52
  5. Step 5: Solve for x
    x = 100,606,879,299.52/148,990.50
  6. Step 6: Final answer
    x = 675,257.01

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.