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Finding the Third Proportional to 216,095 and 327,122

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Solution

The third proportional to 216,095 and 327,122 is: 495,193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,095 : 327,122 = 327,122 : x
  2. Step 2: Convert to fraction form
    216,095/327,122 = 327,122/x
  3. Step 3: Cross multiply
    216,095x = 327,122 × 327,122
  4. Step 4: Simplify right side
    216,095x = 107,008,802,884
  5. Step 5: Solve for x
    x = 107,008,802,884/216,095
  6. Step 6: Final answer
    x = 495,193.33

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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.