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Finding the Third Proportional to 106,843 and 228,509

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Solution

The third proportional to 106,843 and 228,509 is: 488,720.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,843 : 228,509 = 228,509 : x
  2. Step 2: Convert to fraction form
    106,843/228,509 = 228,509/x
  3. Step 3: Cross multiply
    106,843x = 228,509 × 228,509
  4. Step 4: Simplify right side
    106,843x = 52,216,363,081
  5. Step 5: Solve for x
    x = 52,216,363,081/106,843
  6. Step 6: Final answer
    x = 488,720.49

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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.