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Finding the Third Proportional to 216,077 and 327,097

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Solution

The third proportional to 216,077 and 327,097 is: 495,158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,077 : 327,097 = 327,097 : x
  2. Step 2: Convert to fraction form
    216,077/327,097 = 327,097/x
  3. Step 3: Cross multiply
    216,077x = 327,097 × 327,097
  4. Step 4: Simplify right side
    216,077x = 106,992,447,409
  5. Step 5: Solve for x
    x = 106,992,447,409/216,077
  6. Step 6: Final answer
    x = 495,158.89

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Why These Related Problems?

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