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Finding the Third Proportional to 166,627 and 238,110

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Solution

The third proportional to 166,627 and 238,110 is: 340,259.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,627 : 238,110 = 238,110 : x
  2. Step 2: Convert to fraction form
    166,627/238,110 = 238,110/x
  3. Step 3: Cross multiply
    166,627x = 238,110 × 238,110
  4. Step 4: Simplify right side
    166,627x = 56,696,372,100
  5. Step 5: Solve for x
    x = 56,696,372,100/166,627
  6. Step 6: Final answer
    x = 340,259.21

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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.