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Finding the Third Proportional to 150,736 and 233,296

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Solution

The third proportional to 150,736 and 233,296 is: 361,075.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,736 : 233,296 = 233,296 : x
  2. Step 2: Convert to fraction form
    150,736/233,296 = 233,296/x
  3. Step 3: Cross multiply
    150,736x = 233,296 × 233,296
  4. Step 4: Simplify right side
    150,736x = 54,427,023,616
  5. Step 5: Solve for x
    x = 54,427,023,616/150,736
  6. Step 6: Final answer
    x = 361,075.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.