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Finding the Third Proportional to 208,969 and 304,695

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Solution

The third proportional to 208,969 and 304,695 is: 444,271.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,969 : 304,695 = 304,695 : x
  2. Step 2: Convert to fraction form
    208,969/304,695 = 304,695/x
  3. Step 3: Cross multiply
    208,969x = 304,695 × 304,695
  4. Step 4: Simplify right side
    208,969x = 92,839,043,025
  5. Step 5: Solve for x
    x = 92,839,043,025/208,969
  6. Step 6: Final answer
    x = 444,271.84

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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.