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Finding the Third Proportional to 156,154 and 335,992

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Solution

The third proportional to 156,154 and 335,992 is: 722,944.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,154 : 335,992 = 335,992 : x
  2. Step 2: Convert to fraction form
    156,154/335,992 = 335,992/x
  3. Step 3: Cross multiply
    156,154x = 335,992 × 335,992
  4. Step 4: Simplify right side
    156,154x = 112,890,624,064
  5. Step 5: Solve for x
    x = 112,890,624,064/156,154
  6. Step 6: Final answer
    x = 722,944.17

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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.