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Finding the Third Proportional to 175,951.50 and 384,157

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Solution

The third proportional to 175,951.50 and 384,157 is: 838,734.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,951.50 : 384,157 = 384,157 : x
  2. Step 2: Convert to fraction form
    175,951.50/384,157 = 384,157/x
  3. Step 3: Cross multiply
    175,951.50x = 384,157 × 384,157
  4. Step 4: Simplify right side
    175,951.50x = 147,576,600,649
  5. Step 5: Solve for x
    x = 147,576,600,649/175,951.50
  6. Step 6: Final answer
    x = 838,734.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.