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Finding the Third Proportional to 216,180.75 and 343,517.25

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Solution

The third proportional to 216,180.75 and 343,517.25 is: 545,858.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,180.75 : 343,517.25 = 343,517.25 : x
  2. Step 2: Convert to fraction form
    216,180.75/343,517.25 = 343,517.25/x
  3. Step 3: Cross multiply
    216,180.75x = 343,517.25 × 343,517.25
  4. Step 4: Simplify right side
    216,180.75x = 118,004,101,047.56
  5. Step 5: Solve for x
    x = 118,004,101,047.56/216,180.75
  6. Step 6: Final answer
    x = 545,858.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.