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Finding the Third Proportional to 155,968 and 251,180

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Solution

The third proportional to 155,968 and 251,180 is: 404,514.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,968 : 251,180 = 251,180 : x
  2. Step 2: Convert to fraction form
    155,968/251,180 = 251,180/x
  3. Step 3: Cross multiply
    155,968x = 251,180 × 251,180
  4. Step 4: Simplify right side
    155,968x = 63,091,392,400
  5. Step 5: Solve for x
    x = 63,091,392,400/155,968
  6. Step 6: Final answer
    x = 404,514.98

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.