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Finding the Third Proportional to 104,373 and 228,438

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Solution

The third proportional to 104,373 and 228,438 is: 499,975.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,373 : 228,438 = 228,438 : x
  2. Step 2: Convert to fraction form
    104,373/228,438 = 228,438/x
  3. Step 3: Cross multiply
    104,373x = 228,438 × 228,438
  4. Step 4: Simplify right side
    104,373x = 52,183,919,844
  5. Step 5: Solve for x
    x = 52,183,919,844/104,373
  6. Step 6: Final answer
    x = 499,975.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.