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Finding the Third Proportional to 102,797 and 225,277

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Solution

The third proportional to 102,797 and 225,277 is: 493,688.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,797 : 225,277 = 225,277 : x
  2. Step 2: Convert to fraction form
    102,797/225,277 = 225,277/x
  3. Step 3: Cross multiply
    102,797x = 225,277 × 225,277
  4. Step 4: Simplify right side
    102,797x = 50,749,726,729
  5. Step 5: Solve for x
    x = 50,749,726,729/102,797
  6. Step 6: Final answer
    x = 493,688.79

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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.