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Finding the Third Proportional to 299,373.75 and 452,166.75

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Solution

The third proportional to 299,373.75 and 452,166.75 is: 682,941.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,373.75 : 452,166.75 = 452,166.75 : x
  2. Step 2: Convert to fraction form
    299,373.75/452,166.75 = 452,166.75/x
  3. Step 3: Cross multiply
    299,373.75x = 452,166.75 × 452,166.75
  4. Step 4: Simplify right side
    299,373.75x = 204,454,769,805.56
  5. Step 5: Solve for x
    x = 204,454,769,805.56/299,373.75
  6. Step 6: Final answer
    x = 682,941.54

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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.