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Finding the Third Proportional to 208,056 and 313,956

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Solution

The third proportional to 208,056 and 313,956 is: 473,758.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,056 : 313,956 = 313,956 : x
  2. Step 2: Convert to fraction form
    208,056/313,956 = 313,956/x
  3. Step 3: Cross multiply
    208,056x = 313,956 × 313,956
  4. Step 4: Simplify right side
    208,056x = 98,568,369,936
  5. Step 5: Solve for x
    x = 98,568,369,936/208,056
  6. Step 6: Final answer
    x = 473,758.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.