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Finding the Third Proportional to 208,078.88 and 315,137.25

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Solution

The third proportional to 208,078.88 and 315,137.25 is: 477,278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,078.88 : 315,137.25 = 315,137.25 : x
  2. Step 2: Convert to fraction form
    208,078.88/315,137.25 = 315,137.25/x
  3. Step 3: Cross multiply
    208,078.88x = 315,137.25 × 315,137.25
  4. Step 4: Simplify right side
    208,078.88x = 99,311,486,337.56
  5. Step 5: Solve for x
    x = 99,311,486,337.56/208,078.88
  6. Step 6: Final answer
    x = 477,278.08

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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.