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Finding the Third Proportional to 111,856 and 245,816

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Solution

The third proportional to 111,856 and 245,816 is: 540,208.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,856 : 245,816 = 245,816 : x
  2. Step 2: Convert to fraction form
    111,856/245,816 = 245,816/x
  3. Step 3: Cross multiply
    111,856x = 245,816 × 245,816
  4. Step 4: Simplify right side
    111,856x = 60,425,505,856
  5. Step 5: Solve for x
    x = 60,425,505,856/111,856
  6. Step 6: Final answer
    x = 540,208.00

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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.