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Finding the Third Proportional to 104,239 and 245,825

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Solution

The third proportional to 104,239 and 245,825 is: 579,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,239 : 245,825 = 245,825 : x
  2. Step 2: Convert to fraction form
    104,239/245,825 = 245,825/x
  3. Step 3: Cross multiply
    104,239x = 245,825 × 245,825
  4. Step 4: Simplify right side
    104,239x = 60,429,930,625
  5. Step 5: Solve for x
    x = 60,429,930,625/104,239
  6. Step 6: Final answer
    x = 579,724.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.