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Finding the Third Proportional to 106,638 and 228,040

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Solution

The third proportional to 106,638 and 228,040 is: 487,652.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,638 : 228,040 = 228,040 : x
  2. Step 2: Convert to fraction form
    106,638/228,040 = 228,040/x
  3. Step 3: Cross multiply
    106,638x = 228,040 × 228,040
  4. Step 4: Simplify right side
    106,638x = 52,002,241,600
  5. Step 5: Solve for x
    x = 52,002,241,600/106,638
  6. Step 6: Final answer
    x = 487,652.07

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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.