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Finding the Third Proportional to 153,840 and 331,104

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Solution

The third proportional to 153,840 and 331,104 is: 712,622.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,840 : 331,104 = 331,104 : x
  2. Step 2: Convert to fraction form
    153,840/331,104 = 331,104/x
  3. Step 3: Cross multiply
    153,840x = 331,104 × 331,104
  4. Step 4: Simplify right side
    153,840x = 109,629,858,816
  5. Step 5: Solve for x
    x = 109,629,858,816/153,840
  6. Step 6: Final answer
    x = 712,622.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.