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Finding the Third Proportional to 163,296 and 384,000.75

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Solution

The third proportional to 163,296 and 384,000.75 is: 903,001.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,296 : 384,000.75 = 384,000.75 : x
  2. Step 2: Convert to fraction form
    163,296/384,000.75 = 384,000.75/x
  3. Step 3: Cross multiply
    163,296x = 384,000.75 × 384,000.75
  4. Step 4: Simplify right side
    163,296x = 147,456,576,000.56
  5. Step 5: Solve for x
    x = 147,456,576,000.56/163,296
  6. Step 6: Final answer
    x = 903,001.76

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.