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Finding the Third Proportional to 154,420 and 335,912

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Solution

The third proportional to 154,420 and 335,912 is: 730,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,420 : 335,912 = 335,912 : x
  2. Step 2: Convert to fraction form
    154,420/335,912 = 335,912/x
  3. Step 3: Cross multiply
    154,420x = 335,912 × 335,912
  4. Step 4: Simplify right side
    154,420x = 112,836,871,744
  5. Step 5: Solve for x
    x = 112,836,871,744/154,420
  6. Step 6: Final answer
    x = 730,714.10

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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.