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Finding the Third Proportional to 212,550.75 and 297,195.75

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Solution

The third proportional to 212,550.75 and 297,195.75 is: 415,549.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,550.75 : 297,195.75 = 297,195.75 : x
  2. Step 2: Convert to fraction form
    212,550.75/297,195.75 = 297,195.75/x
  3. Step 3: Cross multiply
    212,550.75x = 297,195.75 × 297,195.75
  4. Step 4: Simplify right side
    212,550.75x = 88,325,313,818.06
  5. Step 5: Solve for x
    x = 88,325,313,818.06/212,550.75
  6. Step 6: Final answer
    x = 415,549.29

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.