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Finding the Third Proportional to 104,536 and 229,881

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Solution

The third proportional to 104,536 and 229,881 is: 505,522.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,536 : 229,881 = 229,881 : x
  2. Step 2: Convert to fraction form
    104,536/229,881 = 229,881/x
  3. Step 3: Cross multiply
    104,536x = 229,881 × 229,881
  4. Step 4: Simplify right side
    104,536x = 52,845,274,161
  5. Step 5: Solve for x
    x = 52,845,274,161/104,536
  6. Step 6: Final answer
    x = 505,522.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.