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Finding the Third Proportional to 267,661.50 and 394,097.50

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Solution

The third proportional to 267,661.50 and 394,097.50 is: 580,258.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,661.50 : 394,097.50 = 394,097.50 : x
  2. Step 2: Convert to fraction form
    267,661.50/394,097.50 = 394,097.50/x
  3. Step 3: Cross multiply
    267,661.50x = 394,097.50 × 394,097.50
  4. Step 4: Simplify right side
    267,661.50x = 155,312,839,506.25
  5. Step 5: Solve for x
    x = 155,312,839,506.25/267,661.50
  6. Step 6: Final answer
    x = 580,258.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.