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Finding the Third Proportional to 227,802 and 339,819

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Solution

The third proportional to 227,802 and 339,819 is: 506,918.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,802 : 339,819 = 339,819 : x
  2. Step 2: Convert to fraction form
    227,802/339,819 = 339,819/x
  3. Step 3: Cross multiply
    227,802x = 339,819 × 339,819
  4. Step 4: Simplify right side
    227,802x = 115,476,952,761
  5. Step 5: Solve for x
    x = 115,476,952,761/227,802
  6. Step 6: Final answer
    x = 506,918.08

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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.