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Finding the Third Proportional to 208,916 and 313,836

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Solution

The third proportional to 208,916 and 313,836 is: 471,448.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,916 : 313,836 = 313,836 : x
  2. Step 2: Convert to fraction form
    208,916/313,836 = 313,836/x
  3. Step 3: Cross multiply
    208,916x = 313,836 × 313,836
  4. Step 4: Simplify right side
    208,916x = 98,493,034,896
  5. Step 5: Solve for x
    x = 98,493,034,896/208,916
  6. Step 6: Final answer
    x = 471,448.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.