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Finding the Third Proportional to 312,153.75 and 467,371.69

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Solution

The third proportional to 312,153.75 and 467,371.69 is: 699,771.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,153.75 : 467,371.69 = 467,371.69 : x
  2. Step 2: Convert to fraction form
    312,153.75/467,371.69 = 467,371.69/x
  3. Step 3: Cross multiply
    312,153.75x = 467,371.69 × 467,371.69
  4. Step 4: Simplify right side
    312,153.75x = 218,436,294,276.60
  5. Step 5: Solve for x
    x = 218,436,294,276.60/312,153.75
  6. Step 6: Final answer
    x = 699,771.49

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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.