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Finding the Third Proportional to 222,681 and 467,244

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Solution

The third proportional to 222,681 and 467,244 is: 980,402.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,681 : 467,244 = 467,244 : x
  2. Step 2: Convert to fraction form
    222,681/467,244 = 467,244/x
  3. Step 3: Cross multiply
    222,681x = 467,244 × 467,244
  4. Step 4: Simplify right side
    222,681x = 218,316,955,536
  5. Step 5: Solve for x
    x = 218,316,955,536/222,681
  6. Step 6: Final answer
    x = 980,402.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.