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Finding the Third Proportional to 166,648 and 238,137

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Solution

The third proportional to 166,648 and 238,137 is: 340,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,648 : 238,137 = 238,137 : x
  2. Step 2: Convert to fraction form
    166,648/238,137 = 238,137/x
  3. Step 3: Cross multiply
    166,648x = 238,137 × 238,137
  4. Step 4: Simplify right side
    166,648x = 56,709,230,769
  5. Step 5: Solve for x
    x = 56,709,230,769/166,648
  6. Step 6: Final answer
    x = 340,293.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.