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Finding the Third Proportional to 206,730.75 and 311,300.25

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Solution

The third proportional to 206,730.75 and 311,300.25 is: 468,763.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,730.75 : 311,300.25 = 311,300.25 : x
  2. Step 2: Convert to fraction form
    206,730.75/311,300.25 = 311,300.25/x
  3. Step 3: Cross multiply
    206,730.75x = 311,300.25 × 311,300.25
  4. Step 4: Simplify right side
    206,730.75x = 96,907,845,650.06
  5. Step 5: Solve for x
    x = 96,907,845,650.06/206,730.75
  6. Step 6: Final answer
    x = 468,763.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.