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Finding the Third Proportional to 107,236 and 227,432

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Solution

The third proportional to 107,236 and 227,432 is: 482,350.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,236 : 227,432 = 227,432 : x
  2. Step 2: Convert to fraction form
    107,236/227,432 = 227,432/x
  3. Step 3: Cross multiply
    107,236x = 227,432 × 227,432
  4. Step 4: Simplify right side
    107,236x = 51,725,314,624
  5. Step 5: Solve for x
    x = 51,725,314,624/107,236
  6. Step 6: Final answer
    x = 482,350.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.