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Finding the Third Proportional to 243,076.36 and 367,968.45

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Solution

The third proportional to 243,076.36 and 367,968.45 is: 557,029.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,076.36 : 367,968.45 = 367,968.45 : x
  2. Step 2: Convert to fraction form
    243,076.36/367,968.45 = 367,968.45/x
  3. Step 3: Cross multiply
    243,076.36x = 367,968.45 × 367,968.45
  4. Step 4: Simplify right side
    243,076.36x = 135,400,776,745.70
  5. Step 5: Solve for x
    x = 135,400,776,745.70/243,076.36
  6. Step 6: Final answer
    x = 557,029.80

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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.