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Finding the Third Proportional to 213,169 and 455,874

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Solution

The third proportional to 213,169 and 455,874 is: 974,912.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,169 : 455,874 = 455,874 : x
  2. Step 2: Convert to fraction form
    213,169/455,874 = 455,874/x
  3. Step 3: Cross multiply
    213,169x = 455,874 × 455,874
  4. Step 4: Simplify right side
    213,169x = 207,821,103,876
  5. Step 5: Solve for x
    x = 207,821,103,876/213,169
  6. Step 6: Final answer
    x = 974,912.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.