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Finding the Third Proportional to 154,152.84 and 336,245.63

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Solution

The third proportional to 154,152.84 and 336,245.63 is: 733,435.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,152.84 : 336,245.63 = 336,245.63 : x
  2. Step 2: Convert to fraction form
    154,152.84/336,245.63 = 336,245.63/x
  3. Step 3: Cross multiply
    154,152.84x = 336,245.63 × 336,245.63
  4. Step 4: Simplify right side
    154,152.84x = 113,061,120,331.64
  5. Step 5: Solve for x
    x = 113,061,120,331.64/154,152.84
  6. Step 6: Final answer
    x = 733,435.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.