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Finding the Third Proportional to 242,800 and 532,256

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Solution

The third proportional to 242,800 and 532,256 is: 1,166,789.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,800 : 532,256 = 532,256 : x
  2. Step 2: Convert to fraction form
    242,800/532,256 = 532,256/x
  3. Step 3: Cross multiply
    242,800x = 532,256 × 532,256
  4. Step 4: Simplify right side
    242,800x = 283,296,449,536
  5. Step 5: Solve for x
    x = 283,296,449,536/242,800
  6. Step 6: Final answer
    x = 1,166,789.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.