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Finding the Third Proportional to 160,738.75 and 343,620.75

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Solution

The third proportional to 160,738.75 and 343,620.75 is: 734,578.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,738.75 : 343,620.75 = 343,620.75 : x
  2. Step 2: Convert to fraction form
    160,738.75/343,620.75 = 343,620.75/x
  3. Step 3: Cross multiply
    160,738.75x = 343,620.75 × 343,620.75
  4. Step 4: Simplify right side
    160,738.75x = 118,075,219,830.56
  5. Step 5: Solve for x
    x = 118,075,219,830.56/160,738.75
  6. Step 6: Final answer
    x = 734,578.44

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.