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Finding the Third Proportional to 86,696 and 180,265

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Solution

The third proportional to 86,696 and 180,265 is: 374,820.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,696 : 180,265 = 180,265 : x
  2. Step 2: Convert to fraction form
    86,696/180,265 = 180,265/x
  3. Step 3: Cross multiply
    86,696x = 180,265 × 180,265
  4. Step 4: Simplify right side
    86,696x = 32,495,470,225
  5. Step 5: Solve for x
    x = 32,495,470,225/86,696
  6. Step 6: Final answer
    x = 374,820.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.