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Finding the Third Proportional to 143,973 and 336,336.75

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Solution

The third proportional to 143,973 and 336,336.75 is: 785,719.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,973 : 336,336.75 = 336,336.75 : x
  2. Step 2: Convert to fraction form
    143,973/336,336.75 = 336,336.75/x
  3. Step 3: Cross multiply
    143,973x = 336,336.75 × 336,336.75
  4. Step 4: Simplify right side
    143,973x = 113,122,409,400.56
  5. Step 5: Solve for x
    x = 113,122,409,400.56/143,973
  6. Step 6: Final answer
    x = 785,719.61

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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.