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Finding the Third Proportional to 222,182 and 344,129

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Solution

The third proportional to 222,182 and 344,129 is: 533,007.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,182 : 344,129 = 344,129 : x
  2. Step 2: Convert to fraction form
    222,182/344,129 = 344,129/x
  3. Step 3: Cross multiply
    222,182x = 344,129 × 344,129
  4. Step 4: Simplify right side
    222,182x = 118,424,768,641
  5. Step 5: Solve for x
    x = 118,424,768,641/222,182
  6. Step 6: Final answer
    x = 533,007.93

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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.