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Finding the Third Proportional to 110,504 and 241,905

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Solution

The third proportional to 110,504 and 241,905 is: 529,555.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,504 : 241,905 = 241,905 : x
  2. Step 2: Convert to fraction form
    110,504/241,905 = 241,905/x
  3. Step 3: Cross multiply
    110,504x = 241,905 × 241,905
  4. Step 4: Simplify right side
    110,504x = 58,518,029,025
  5. Step 5: Solve for x
    x = 58,518,029,025/110,504
  6. Step 6: Final answer
    x = 529,555.75

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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.