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Finding the Third Proportional to 165,988 and 238,614

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Solution

The third proportional to 165,988 and 238,614 is: 343,016.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,988 : 238,614 = 238,614 : x
  2. Step 2: Convert to fraction form
    165,988/238,614 = 238,614/x
  3. Step 3: Cross multiply
    165,988x = 238,614 × 238,614
  4. Step 4: Simplify right side
    165,988x = 56,936,640,996
  5. Step 5: Solve for x
    x = 56,936,640,996/165,988
  6. Step 6: Final answer
    x = 343,016.61

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.