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Finding the Third Proportional to 216,684.75 and 336,827.63

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Solution

The third proportional to 216,684.75 and 336,827.63 is: 523,584.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,684.75 : 336,827.63 = 336,827.63 : x
  2. Step 2: Convert to fraction form
    216,684.75/336,827.63 = 336,827.63/x
  3. Step 3: Cross multiply
    216,684.75x = 336,827.63 × 336,827.63
  4. Step 4: Simplify right side
    216,684.75x = 113,452,848,963.14
  5. Step 5: Solve for x
    x = 113,452,848,963.14/216,684.75
  6. Step 6: Final answer
    x = 523,584.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.