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Finding the Third Proportional to 159,096 and 349,296

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Solution

The third proportional to 159,096 and 349,296 is: 766,880.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,096 : 349,296 = 349,296 : x
  2. Step 2: Convert to fraction form
    159,096/349,296 = 349,296/x
  3. Step 3: Cross multiply
    159,096x = 349,296 × 349,296
  4. Step 4: Simplify right side
    159,096x = 122,007,695,616
  5. Step 5: Solve for x
    x = 122,007,695,616/159,096
  6. Step 6: Final answer
    x = 766,880.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.