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Finding the Third Proportional to 154,512 and 335,232

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Solution

The third proportional to 154,512 and 335,232 is: 727,325.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,512 : 335,232 = 335,232 : x
  2. Step 2: Convert to fraction form
    154,512/335,232 = 335,232/x
  3. Step 3: Cross multiply
    154,512x = 335,232 × 335,232
  4. Step 4: Simplify right side
    154,512x = 112,380,493,824
  5. Step 5: Solve for x
    x = 112,380,493,824/154,512
  6. Step 6: Final answer
    x = 727,325.35

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Why These Related Problems?

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