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Finding the Third Proportional to 160,015.50 and 384,000.75

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Solution

The third proportional to 160,015.50 and 384,000.75 is: 921,514.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,015.50 : 384,000.75 = 384,000.75 : x
  2. Step 2: Convert to fraction form
    160,015.50/384,000.75 = 384,000.75/x
  3. Step 3: Cross multiply
    160,015.50x = 384,000.75 × 384,000.75
  4. Step 4: Simplify right side
    160,015.50x = 147,456,576,000.56
  5. Step 5: Solve for x
    x = 147,456,576,000.56/160,015.50
  6. Step 6: Final answer
    x = 921,514.33

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.