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Finding the Third Proportional to 208,914 and 304,623

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Solution

The third proportional to 208,914 and 304,623 is: 444,178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,914 : 304,623 = 304,623 : x
  2. Step 2: Convert to fraction form
    208,914/304,623 = 304,623/x
  3. Step 3: Cross multiply
    208,914x = 304,623 × 304,623
  4. Step 4: Simplify right side
    208,914x = 92,795,172,129
  5. Step 5: Solve for x
    x = 92,795,172,129/208,914
  6. Step 6: Final answer
    x = 444,178.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.