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Finding the Third Proportional to 107,256 and 228,756

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Solution

The third proportional to 107,256 and 228,756 is: 487,891.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,256 : 228,756 = 228,756 : x
  2. Step 2: Convert to fraction form
    107,256/228,756 = 228,756/x
  3. Step 3: Cross multiply
    107,256x = 228,756 × 228,756
  4. Step 4: Simplify right side
    107,256x = 52,329,307,536
  5. Step 5: Solve for x
    x = 52,329,307,536/107,256
  6. Step 6: Final answer
    x = 487,891.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.