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Finding the Third Proportional to 228,664.50 and 339,681

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Solution

The third proportional to 228,664.50 and 339,681 is: 504,595.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,664.50 : 339,681 = 339,681 : x
  2. Step 2: Convert to fraction form
    228,664.50/339,681 = 339,681/x
  3. Step 3: Cross multiply
    228,664.50x = 339,681 × 339,681
  4. Step 4: Simplify right side
    228,664.50x = 115,383,181,761
  5. Step 5: Solve for x
    x = 115,383,181,761/228,664.50
  6. Step 6: Final answer
    x = 504,595.96

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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.