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Finding the Third Proportional to 222,956 and 488,164

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Solution

The third proportional to 222,956 and 488,164 is: 1,068,839.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,956 : 488,164 = 488,164 : x
  2. Step 2: Convert to fraction form
    222,956/488,164 = 488,164/x
  3. Step 3: Cross multiply
    222,956x = 488,164 × 488,164
  4. Step 4: Simplify right side
    222,956x = 238,304,090,896
  5. Step 5: Solve for x
    x = 238,304,090,896/222,956
  6. Step 6: Final answer
    x = 1,068,839.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.