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Finding the Third Proportional to 218,439 and 309,433.50

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Solution

The third proportional to 218,439 and 309,433.50 is: 438,333.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,439 : 309,433.50 = 309,433.50 : x
  2. Step 2: Convert to fraction form
    218,439/309,433.50 = 309,433.50/x
  3. Step 3: Cross multiply
    218,439x = 309,433.50 × 309,433.50
  4. Step 4: Simplify right side
    218,439x = 95,749,090,922.25
  5. Step 5: Solve for x
    x = 95,749,090,922.25/218,439
  6. Step 6: Final answer
    x = 438,333.31

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.