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Finding the Third Proportional to 118,216 and 180,859

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Solution

The third proportional to 118,216 and 180,859 is: 276,696.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,216 : 180,859 = 180,859 : x
  2. Step 2: Convert to fraction form
    118,216/180,859 = 180,859/x
  3. Step 3: Cross multiply
    118,216x = 180,859 × 180,859
  4. Step 4: Simplify right side
    118,216x = 32,709,977,881
  5. Step 5: Solve for x
    x = 32,709,977,881/118,216
  6. Step 6: Final answer
    x = 276,696.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.