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Finding the Third Proportional to 175,586.06 and 383,676.75

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Solution

The third proportional to 175,586.06 and 383,676.75 is: 838,380.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,586.06 : 383,676.75 = 383,676.75 : x
  2. Step 2: Convert to fraction form
    175,586.06/383,676.75 = 383,676.75/x
  3. Step 3: Cross multiply
    175,586.06x = 383,676.75 × 383,676.75
  4. Step 4: Simplify right side
    175,586.06x = 147,207,848,490.56
  5. Step 5: Solve for x
    x = 147,207,848,490.56/175,586.06
  6. Step 6: Final answer
    x = 838,380.03

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.