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Finding the Third Proportional to 228,654.75 and 339,666.75

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Solution

The third proportional to 228,654.75 and 339,666.75 is: 504,575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,654.75 : 339,666.75 = 339,666.75 : x
  2. Step 2: Convert to fraction form
    228,654.75/339,666.75 = 339,666.75/x
  3. Step 3: Cross multiply
    228,654.75x = 339,666.75 × 339,666.75
  4. Step 4: Simplify right side
    228,654.75x = 115,373,501,055.56
  5. Step 5: Solve for x
    x = 115,373,501,055.56/228,654.75
  6. Step 6: Final answer
    x = 504,575.13

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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.