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Finding the Third Proportional to 106,409 and 228,498

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Solution

The third proportional to 106,409 and 228,498 is: 490,666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,409 : 228,498 = 228,498 : x
  2. Step 2: Convert to fraction form
    106,409/228,498 = 228,498/x
  3. Step 3: Cross multiply
    106,409x = 228,498 × 228,498
  4. Step 4: Simplify right side
    106,409x = 52,211,336,004
  5. Step 5: Solve for x
    x = 52,211,336,004/106,409
  6. Step 6: Final answer
    x = 490,666.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.