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Finding the Third Proportional to 104,211 and 245,755

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Solution

The third proportional to 104,211 and 245,755 is: 579,550.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,211 : 245,755 = 245,755 : x
  2. Step 2: Convert to fraction form
    104,211/245,755 = 245,755/x
  3. Step 3: Cross multiply
    104,211x = 245,755 × 245,755
  4. Step 4: Simplify right side
    104,211x = 60,395,520,025
  5. Step 5: Solve for x
    x = 60,395,520,025/104,211
  6. Step 6: Final answer
    x = 579,550.34

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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.