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Finding the Third Proportional to 143,093.25 and 310,790.25

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Solution

The third proportional to 143,093.25 and 310,790.25 is: 675,018.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,093.25 : 310,790.25 = 310,790.25 : x
  2. Step 2: Convert to fraction form
    143,093.25/310,790.25 = 310,790.25/x
  3. Step 3: Cross multiply
    143,093.25x = 310,790.25 × 310,790.25
  4. Step 4: Simplify right side
    143,093.25x = 96,590,579,495.06
  5. Step 5: Solve for x
    x = 96,590,579,495.06/143,093.25
  6. Step 6: Final answer
    x = 675,018.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.