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Finding the Third Proportional to 208,874.25 and 313,773.75

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Solution

The third proportional to 208,874.25 and 313,773.75 is: 471,355.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,874.25 : 313,773.75 = 313,773.75 : x
  2. Step 2: Convert to fraction form
    208,874.25/313,773.75 = 313,773.75/x
  3. Step 3: Cross multiply
    208,874.25x = 313,773.75 × 313,773.75
  4. Step 4: Simplify right side
    208,874.25x = 98,453,966,189.06
  5. Step 5: Solve for x
    x = 98,453,966,189.06/208,874.25
  6. Step 6: Final answer
    x = 471,355.21

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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.