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Finding the Third Proportional to 104,372 and 228,436

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Solution

The third proportional to 104,372 and 228,436 is: 499,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,372 : 228,436 = 228,436 : x
  2. Step 2: Convert to fraction form
    104,372/228,436 = 228,436/x
  3. Step 3: Cross multiply
    104,372x = 228,436 × 228,436
  4. Step 4: Simplify right side
    104,372x = 52,183,006,096
  5. Step 5: Solve for x
    x = 52,183,006,096/104,372
  6. Step 6: Final answer
    x = 499,971.32

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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.