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Finding the Third Proportional to 149,161 and 216,696

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Solution

The third proportional to 149,161 and 216,696 is: 314,808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,161 : 216,696 = 216,696 : x
  2. Step 2: Convert to fraction form
    149,161/216,696 = 216,696/x
  3. Step 3: Cross multiply
    149,161x = 216,696 × 216,696
  4. Step 4: Simplify right side
    149,161x = 46,957,156,416
  5. Step 5: Solve for x
    x = 46,957,156,416/149,161
  6. Step 6: Final answer
    x = 314,808.54

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.