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Finding the Third Proportional to 143,965.69 and 336,322.13

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Solution

The third proportional to 143,965.69 and 336,322.13 is: 785,691.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,965.69 : 336,322.13 = 336,322.13 : x
  2. Step 2: Convert to fraction form
    143,965.69/336,322.13 = 336,322.13/x
  3. Step 3: Cross multiply
    143,965.69x = 336,322.13 × 336,322.13
  4. Step 4: Simplify right side
    143,965.69x = 113,112,571,764.52
  5. Step 5: Solve for x
    x = 113,112,571,764.52/143,965.69
  6. Step 6: Final answer
    x = 785,691.19

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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.