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Finding the Third Proportional to 250,992 and 368,114

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Solution

The third proportional to 250,992 and 368,114 is: 539,889.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,992 : 368,114 = 368,114 : x
  2. Step 2: Convert to fraction form
    250,992/368,114 = 368,114/x
  3. Step 3: Cross multiply
    250,992x = 368,114 × 368,114
  4. Step 4: Simplify right side
    250,992x = 135,507,916,996
  5. Step 5: Solve for x
    x = 135,507,916,996/250,992
  6. Step 6: Final answer
    x = 539,889.39

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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.