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Finding the Third Proportional to 148,912 and 321,150

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Solution

The third proportional to 148,912 and 321,150 is: 692,605.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,912 : 321,150 = 321,150 : x
  2. Step 2: Convert to fraction form
    148,912/321,150 = 321,150/x
  3. Step 3: Cross multiply
    148,912x = 321,150 × 321,150
  4. Step 4: Simplify right side
    148,912x = 103,137,322,500
  5. Step 5: Solve for x
    x = 103,137,322,500/148,912
  6. Step 6: Final answer
    x = 692,605.85

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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.