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Finding the Third Proportional to 154,468.13 and 334,626.75

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Solution

The third proportional to 154,468.13 and 334,626.75 is: 724,907.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,468.13 : 334,626.75 = 334,626.75 : x
  2. Step 2: Convert to fraction form
    154,468.13/334,626.75 = 334,626.75/x
  3. Step 3: Cross multiply
    154,468.13x = 334,626.75 × 334,626.75
  4. Step 4: Simplify right side
    154,468.13x = 111,975,061,815.56
  5. Step 5: Solve for x
    x = 111,975,061,815.56/154,468.13
  6. Step 6: Final answer
    x = 724,907.24

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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.