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Finding the Third Proportional to 247,923 and 368,239

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Solution

The third proportional to 247,923 and 368,239 is: 546,943.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,923 : 368,239 = 368,239 : x
  2. Step 2: Convert to fraction form
    247,923/368,239 = 368,239/x
  3. Step 3: Cross multiply
    247,923x = 368,239 × 368,239
  4. Step 4: Simplify right side
    247,923x = 135,599,961,121
  5. Step 5: Solve for x
    x = 135,599,961,121/247,923
  6. Step 6: Final answer
    x = 546,943.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.