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Finding the Third Proportional to 154,465.42 and 334,621.44

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Solution

The third proportional to 154,465.42 and 334,621.44 is: 724,896.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,465.42 : 334,621.44 = 334,621.44 : x
  2. Step 2: Convert to fraction form
    154,465.42/334,621.44 = 334,621.44/x
  3. Step 3: Cross multiply
    154,465.42x = 334,621.44 × 334,621.44
  4. Step 4: Simplify right side
    154,465.42x = 111,971,509,048.80
  5. Step 5: Solve for x
    x = 111,971,509,048.80/154,465.42
  6. Step 6: Final answer
    x = 724,896.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.