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Finding the Third Proportional to 208,978 and 304,518

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Solution

The third proportional to 208,978 and 304,518 is: 443,736.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,978 : 304,518 = 304,518 : x
  2. Step 2: Convert to fraction form
    208,978/304,518 = 304,518/x
  3. Step 3: Cross multiply
    208,978x = 304,518 × 304,518
  4. Step 4: Simplify right side
    208,978x = 92,731,212,324
  5. Step 5: Solve for x
    x = 92,731,212,324/208,978
  6. Step 6: Final answer
    x = 443,736.72

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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.