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Finding the Third Proportional to 151,577 and 330,064

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Solution

The third proportional to 151,577 and 330,064 is: 718,725.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,577 : 330,064 = 330,064 : x
  2. Step 2: Convert to fraction form
    151,577/330,064 = 330,064/x
  3. Step 3: Cross multiply
    151,577x = 330,064 × 330,064
  4. Step 4: Simplify right side
    151,577x = 108,942,244,096
  5. Step 5: Solve for x
    x = 108,942,244,096/151,577
  6. Step 6: Final answer
    x = 718,725.43

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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.