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Finding the Third Proportional to 233,676 and 366,087

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Solution

The third proportional to 233,676 and 366,087 is: 573,527.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,676 : 366,087 = 366,087 : x
  2. Step 2: Convert to fraction form
    233,676/366,087 = 366,087/x
  3. Step 3: Cross multiply
    233,676x = 366,087 × 366,087
  4. Step 4: Simplify right side
    233,676x = 134,019,691,569
  5. Step 5: Solve for x
    x = 134,019,691,569/233,676
  6. Step 6: Final answer
    x = 573,527.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.