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Finding the Third Proportional to 243,094 and 367,994

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Solution

The third proportional to 243,094 and 367,994 is: 557,066.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,094 : 367,994 = 367,994 : x
  2. Step 2: Convert to fraction form
    243,094/367,994 = 367,994/x
  3. Step 3: Cross multiply
    243,094x = 367,994 × 367,994
  4. Step 4: Simplify right side
    243,094x = 135,419,584,036
  5. Step 5: Solve for x
    x = 135,419,584,036/243,094
  6. Step 6: Final answer
    x = 557,066.75

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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.