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Finding the Third Proportional to 222,172 and 482,252

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Solution

The third proportional to 222,172 and 482,252 is: 1,046,788.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,172 : 482,252 = 482,252 : x
  2. Step 2: Convert to fraction form
    222,172/482,252 = 482,252/x
  3. Step 3: Cross multiply
    222,172x = 482,252 × 482,252
  4. Step 4: Simplify right side
    222,172x = 232,566,991,504
  5. Step 5: Solve for x
    x = 232,566,991,504/222,172
  6. Step 6: Final answer
    x = 1,046,788.04

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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.