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Finding the Third Proportional to 250,800 and 536,112

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Solution

The third proportional to 250,800 and 536,112 is: 1,145,997.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,800 : 536,112 = 536,112 : x
  2. Step 2: Convert to fraction form
    250,800/536,112 = 536,112/x
  3. Step 3: Cross multiply
    250,800x = 536,112 × 536,112
  4. Step 4: Simplify right side
    250,800x = 287,416,076,544
  5. Step 5: Solve for x
    x = 287,416,076,544/250,800
  6. Step 6: Final answer
    x = 1,145,997.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.