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Finding the Third Proportional to 148,912 and 321,150.50

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Solution

The third proportional to 148,912 and 321,150.50 is: 692,608.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,912 : 321,150.50 = 321,150.50 : x
  2. Step 2: Convert to fraction form
    148,912/321,150.50 = 321,150.50/x
  3. Step 3: Cross multiply
    148,912x = 321,150.50 × 321,150.50
  4. Step 4: Simplify right side
    148,912x = 103,137,643,650.25
  5. Step 5: Solve for x
    x = 103,137,643,650.25/148,912
  6. Step 6: Final answer
    x = 692,608.01

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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.