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Finding the Third Proportional to 110,220 and 240,816

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Solution

The third proportional to 110,220 and 240,816 is: 526,150.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,220 : 240,816 = 240,816 : x
  2. Step 2: Convert to fraction form
    110,220/240,816 = 240,816/x
  3. Step 3: Cross multiply
    110,220x = 240,816 × 240,816
  4. Step 4: Simplify right side
    110,220x = 57,992,345,856
  5. Step 5: Solve for x
    x = 57,992,345,856/110,220
  6. Step 6: Final answer
    x = 526,150.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.