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Finding the Third Proportional to 107,288 and 228,436

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Solution

The third proportional to 107,288 and 228,436 is: 486,382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,288 : 228,436 = 228,436 : x
  2. Step 2: Convert to fraction form
    107,288/228,436 = 228,436/x
  3. Step 3: Cross multiply
    107,288x = 228,436 × 228,436
  4. Step 4: Simplify right side
    107,288x = 52,183,006,096
  5. Step 5: Solve for x
    x = 52,183,006,096/107,288
  6. Step 6: Final answer
    x = 486,382.50

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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.