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Finding the Third Proportional to 148,608 and 319,450.50

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Solution

The third proportional to 148,608 and 319,450.50 is: 686,696.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,608 : 319,450.50 = 319,450.50 : x
  2. Step 2: Convert to fraction form
    148,608/319,450.50 = 319,450.50/x
  3. Step 3: Cross multiply
    148,608x = 319,450.50 × 319,450.50
  4. Step 4: Simplify right side
    148,608x = 102,048,621,950.25
  5. Step 5: Solve for x
    x = 102,048,621,950.25/148,608
  6. Step 6: Final answer
    x = 686,696.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.