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Finding the Third Proportional to 149,220 and 343,647

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Solution

The third proportional to 149,220 and 343,647 is: 791,403.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,220 : 343,647 = 343,647 : x
  2. Step 2: Convert to fraction form
    149,220/343,647 = 343,647/x
  3. Step 3: Cross multiply
    149,220x = 343,647 × 343,647
  4. Step 4: Simplify right side
    149,220x = 118,093,260,609
  5. Step 5: Solve for x
    x = 118,093,260,609/149,220
  6. Step 6: Final answer
    x = 791,403.70

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.