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Finding the Third Proportional to 217,323 and 311,404.50

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Solution

The third proportional to 217,323 and 311,404.50 is: 446,214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,323 : 311,404.50 = 311,404.50 : x
  2. Step 2: Convert to fraction form
    217,323/311,404.50 = 311,404.50/x
  3. Step 3: Cross multiply
    217,323x = 311,404.50 × 311,404.50
  4. Step 4: Simplify right side
    217,323x = 96,972,762,620.25
  5. Step 5: Solve for x
    x = 96,972,762,620.25/217,323
  6. Step 6: Final answer
    x = 446,214.91

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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.