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Finding the Third Proportional to 143,525.25 and 313,274.25

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Solution

The third proportional to 143,525.25 and 313,274.25 is: 683,787.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,525.25 : 313,274.25 = 313,274.25 : x
  2. Step 2: Convert to fraction form
    143,525.25/313,274.25 = 313,274.25/x
  3. Step 3: Cross multiply
    143,525.25x = 313,274.25 × 313,274.25
  4. Step 4: Simplify right side
    143,525.25x = 98,140,755,713.06
  5. Step 5: Solve for x
    x = 98,140,755,713.06/143,525.25
  6. Step 6: Final answer
    x = 683,787.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.