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Finding the Third Proportional to 102,835 and 225,366

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Solution

The third proportional to 102,835 and 225,366 is: 493,896.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,835 : 225,366 = 225,366 : x
  2. Step 2: Convert to fraction form
    102,835/225,366 = 225,366/x
  3. Step 3: Cross multiply
    102,835x = 225,366 × 225,366
  4. Step 4: Simplify right side
    102,835x = 50,789,833,956
  5. Step 5: Solve for x
    x = 50,789,833,956/102,835
  6. Step 6: Final answer
    x = 493,896.38

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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.