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Finding the Third Proportional to 208,041 and 304,656

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Solution

The third proportional to 208,041 and 304,656 is: 446,139.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,041 : 304,656 = 304,656 : x
  2. Step 2: Convert to fraction form
    208,041/304,656 = 304,656/x
  3. Step 3: Cross multiply
    208,041x = 304,656 × 304,656
  4. Step 4: Simplify right side
    208,041x = 92,815,278,336
  5. Step 5: Solve for x
    x = 92,815,278,336/208,041
  6. Step 6: Final answer
    x = 446,139.36

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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.