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Finding the Third Proportional to 243,083.75 and 367,979.25

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Solution

The third proportional to 243,083.75 and 367,979.25 is: 557,045.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,083.75 : 367,979.25 = 367,979.25 : x
  2. Step 2: Convert to fraction form
    243,083.75/367,979.25 = 367,979.25/x
  3. Step 3: Cross multiply
    243,083.75x = 367,979.25 × 367,979.25
  4. Step 4: Simplify right side
    243,083.75x = 135,408,728,430.56
  5. Step 5: Solve for x
    x = 135,408,728,430.56/243,083.75
  6. Step 6: Final answer
    x = 557,045.58

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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.