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Finding the Third Proportional to 102,819 and 225,321

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Solution

The third proportional to 102,819 and 225,321 is: 493,775.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,819 : 225,321 = 225,321 : x
  2. Step 2: Convert to fraction form
    102,819/225,321 = 225,321/x
  3. Step 3: Cross multiply
    102,819x = 225,321 × 225,321
  4. Step 4: Simplify right side
    102,819x = 50,769,553,041
  5. Step 5: Solve for x
    x = 50,769,553,041/102,819
  6. Step 6: Final answer
    x = 493,775.99

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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.