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Finding the Third Proportional to 112,684 and 228,478

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Solution

The third proportional to 112,684 and 228,478 is: 463,261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,684 : 228,478 = 228,478 : x
  2. Step 2: Convert to fraction form
    112,684/228,478 = 228,478/x
  3. Step 3: Cross multiply
    112,684x = 228,478 × 228,478
  4. Step 4: Simplify right side
    112,684x = 52,202,196,484
  5. Step 5: Solve for x
    x = 52,202,196,484/112,684
  6. Step 6: Final answer
    x = 463,261.83

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.