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Finding the Third Proportional to 143,920 and 336,144

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Solution

The third proportional to 143,920 and 336,144 is: 785,108.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,920 : 336,144 = 336,144 : x
  2. Step 2: Convert to fraction form
    143,920/336,144 = 336,144/x
  3. Step 3: Cross multiply
    143,920x = 336,144 × 336,144
  4. Step 4: Simplify right side
    143,920x = 112,992,788,736
  5. Step 5: Solve for x
    x = 112,992,788,736/143,920
  6. Step 6: Final answer
    x = 785,108.32

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.