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Finding the Third Proportional to 101,884 and 221,284

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Solution

The third proportional to 101,884 and 221,284 is: 480,611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,884 : 221,284 = 221,284 : x
  2. Step 2: Convert to fraction form
    101,884/221,284 = 221,284/x
  3. Step 3: Cross multiply
    101,884x = 221,284 × 221,284
  4. Step 4: Simplify right side
    101,884x = 48,966,608,656
  5. Step 5: Solve for x
    x = 48,966,608,656/101,884
  6. Step 6: Final answer
    x = 480,611.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.