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Finding the Third Proportional to 312,140.25 and 467,354.25

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Solution

The third proportional to 312,140.25 and 467,354.25 is: 699,749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,140.25 : 467,354.25 = 467,354.25 : x
  2. Step 2: Convert to fraction form
    312,140.25/467,354.25 = 467,354.25/x
  3. Step 3: Cross multiply
    312,140.25x = 467,354.25 × 467,354.25
  4. Step 4: Simplify right side
    312,140.25x = 218,419,994,993.06
  5. Step 5: Solve for x
    x = 218,419,994,993.06/312,140.25
  6. Step 6: Final answer
    x = 699,749.54

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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.