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Finding the Third Proportional to 106,880 and 228,072

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Solution

The third proportional to 106,880 and 228,072 is: 486,684.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,880 : 228,072 = 228,072 : x
  2. Step 2: Convert to fraction form
    106,880/228,072 = 228,072/x
  3. Step 3: Cross multiply
    106,880x = 228,072 × 228,072
  4. Step 4: Simplify right side
    106,880x = 52,016,837,184
  5. Step 5: Solve for x
    x = 52,016,837,184/106,880
  6. Step 6: Final answer
    x = 486,684.48

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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.