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Finding the Third Proportional to 110,162 and 237,838

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Solution

The third proportional to 110,162 and 237,838 is: 513,488.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,162 : 237,838 = 237,838 : x
  2. Step 2: Convert to fraction form
    110,162/237,838 = 237,838/x
  3. Step 3: Cross multiply
    110,162x = 237,838 × 237,838
  4. Step 4: Simplify right side
    110,162x = 56,566,914,244
  5. Step 5: Solve for x
    x = 56,566,914,244/110,162
  6. Step 6: Final answer
    x = 513,488.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.