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Finding the Third Proportional to 118,836 and 258,164

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Solution

The third proportional to 118,836 and 258,164 is: 560,845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,836 : 258,164 = 258,164 : x
  2. Step 2: Convert to fraction form
    118,836/258,164 = 258,164/x
  3. Step 3: Cross multiply
    118,836x = 258,164 × 258,164
  4. Step 4: Simplify right side
    118,836x = 66,648,650,896
  5. Step 5: Solve for x
    x = 66,648,650,896/118,836
  6. Step 6: Final answer
    x = 560,845.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.