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Finding the Third Proportional to 209,524.50 and 299,247.75

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Solution

The third proportional to 209,524.50 and 299,247.75 is: 427,392.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,524.50 : 299,247.75 = 299,247.75 : x
  2. Step 2: Convert to fraction form
    209,524.50/299,247.75 = 299,247.75/x
  3. Step 3: Cross multiply
    209,524.50x = 299,247.75 × 299,247.75
  4. Step 4: Simplify right side
    209,524.50x = 89,549,215,880.06
  5. Step 5: Solve for x
    x = 89,549,215,880.06/209,524.50
  6. Step 6: Final answer
    x = 427,392.58

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.