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Finding the Third Proportional to 106,620 and 228,003

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Solution

The third proportional to 106,620 and 228,003 is: 487,576.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,620 : 228,003 = 228,003 : x
  2. Step 2: Convert to fraction form
    106,620/228,003 = 228,003/x
  3. Step 3: Cross multiply
    106,620x = 228,003 × 228,003
  4. Step 4: Simplify right side
    106,620x = 51,985,368,009
  5. Step 5: Solve for x
    x = 51,985,368,009/106,620
  6. Step 6: Final answer
    x = 487,576.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.