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Finding the Third Proportional to 312,135.75 and 468,200.25

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Solution

The third proportional to 312,135.75 and 468,200.25 is: 702,295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,135.75 : 468,200.25 = 468,200.25 : x
  2. Step 2: Convert to fraction form
    312,135.75/468,200.25 = 468,200.25/x
  3. Step 3: Cross multiply
    312,135.75x = 468,200.25 × 468,200.25
  4. Step 4: Simplify right side
    312,135.75x = 219,211,474,100.06
  5. Step 5: Solve for x
    x = 219,211,474,100.06/312,135.75
  6. Step 6: Final answer
    x = 702,295.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.