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Finding the Third Proportional to 107,373 and 228,615

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Solution

The third proportional to 107,373 and 228,615 is: 486,759.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,373 : 228,615 = 228,615 : x
  2. Step 2: Convert to fraction form
    107,373/228,615 = 228,615/x
  3. Step 3: Cross multiply
    107,373x = 228,615 × 228,615
  4. Step 4: Simplify right side
    107,373x = 52,264,818,225
  5. Step 5: Solve for x
    x = 52,264,818,225/107,373
  6. Step 6: Final answer
    x = 486,759.41

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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.