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Finding the Third Proportional to 143,963 and 336,314

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Solution

The third proportional to 143,963 and 336,314 is: 785,667.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,963 : 336,314 = 336,314 : x
  2. Step 2: Convert to fraction form
    143,963/336,314 = 336,314/x
  3. Step 3: Cross multiply
    143,963x = 336,314 × 336,314
  4. Step 4: Simplify right side
    143,963x = 113,107,106,596
  5. Step 5: Solve for x
    x = 113,107,106,596/143,963
  6. Step 6: Final answer
    x = 785,667.89

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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.