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Finding the Third Proportional to 154,512 and 233,064

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Solution

The third proportional to 154,512 and 233,064 is: 351,550.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,512 : 233,064 = 233,064 : x
  2. Step 2: Convert to fraction form
    154,512/233,064 = 233,064/x
  3. Step 3: Cross multiply
    154,512x = 233,064 × 233,064
  4. Step 4: Simplify right side
    154,512x = 54,318,828,096
  5. Step 5: Solve for x
    x = 54,318,828,096/154,512
  6. Step 6: Final answer
    x = 351,550.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.