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Finding the Third Proportional to 222,181 and 344,127

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Solution

The third proportional to 222,181 and 344,127 is: 533,004.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,181 : 344,127 = 344,127 : x
  2. Step 2: Convert to fraction form
    222,181/344,127 = 344,127/x
  3. Step 3: Cross multiply
    222,181x = 344,127 × 344,127
  4. Step 4: Simplify right side
    222,181x = 118,423,392,129
  5. Step 5: Solve for x
    x = 118,423,392,129/222,181
  6. Step 6: Final answer
    x = 533,004.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.