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Finding the Third Proportional to 208,172 and 445,860

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Solution

The third proportional to 208,172 and 445,860 is: 954,936.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,172 : 445,860 = 445,860 : x
  2. Step 2: Convert to fraction form
    208,172/445,860 = 445,860/x
  3. Step 3: Cross multiply
    208,172x = 445,860 × 445,860
  4. Step 4: Simplify right side
    208,172x = 198,791,139,600
  5. Step 5: Solve for x
    x = 198,791,139,600/208,172
  6. Step 6: Final answer
    x = 954,936.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.