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Finding the Third Proportional to 216,068.63 and 327,084.38

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Solution

The third proportional to 216,068.63 and 327,084.38 is: 495,139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,068.63 : 327,084.38 = 327,084.38 : x
  2. Step 2: Convert to fraction form
    216,068.63/327,084.38 = 327,084.38/x
  3. Step 3: Cross multiply
    216,068.63x = 327,084.38 × 327,084.38
  4. Step 4: Simplify right side
    216,068.63x = 106,984,188,369.14
  5. Step 5: Solve for x
    x = 106,984,188,369.14/216,068.63
  6. Step 6: Final answer
    x = 495,139.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.