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Finding the Third Proportional to 208,350 and 455,451.75

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Solution

The third proportional to 208,350 and 455,451.75 is: 995,614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,350 : 455,451.75 = 455,451.75 : x
  2. Step 2: Convert to fraction form
    208,350/455,451.75 = 455,451.75/x
  3. Step 3: Cross multiply
    208,350x = 455,451.75 × 455,451.75
  4. Step 4: Simplify right side
    208,350x = 207,436,296,578.06
  5. Step 5: Solve for x
    x = 207,436,296,578.06/208,350
  6. Step 6: Final answer
    x = 995,614.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.