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Finding the Third Proportional to 208,986 and 304,731

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Solution

The third proportional to 208,986 and 304,731 is: 444,340.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,986 : 304,731 = 304,731 : x
  2. Step 2: Convert to fraction form
    208,986/304,731 = 304,731/x
  3. Step 3: Cross multiply
    208,986x = 304,731 × 304,731
  4. Step 4: Simplify right side
    208,986x = 92,860,982,361
  5. Step 5: Solve for x
    x = 92,860,982,361/208,986
  6. Step 6: Final answer
    x = 444,340.68

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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.