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Finding the Third Proportional to 208,024 and 313,896

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Solution

The third proportional to 208,024 and 313,896 is: 473,650.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,024 : 313,896 = 313,896 : x
  2. Step 2: Convert to fraction form
    208,024/313,896 = 313,896/x
  3. Step 3: Cross multiply
    208,024x = 313,896 × 313,896
  4. Step 4: Simplify right side
    208,024x = 98,530,698,816
  5. Step 5: Solve for x
    x = 98,530,698,816/208,024
  6. Step 6: Final answer
    x = 473,650.63

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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.