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Finding the Third Proportional to 110,856 and 228,248

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Solution

The third proportional to 110,856 and 228,248 is: 469,953.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,856 : 228,248 = 228,248 : x
  2. Step 2: Convert to fraction form
    110,856/228,248 = 228,248/x
  3. Step 3: Cross multiply
    110,856x = 228,248 × 228,248
  4. Step 4: Simplify right side
    110,856x = 52,097,149,504
  5. Step 5: Solve for x
    x = 52,097,149,504/110,856
  6. Step 6: Final answer
    x = 469,953.36

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.