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Finding the Third Proportional to 110,816 and 237,508

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Solution

The third proportional to 110,816 and 237,508 is: 509,042.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,816 : 237,508 = 237,508 : x
  2. Step 2: Convert to fraction form
    110,816/237,508 = 237,508/x
  3. Step 3: Cross multiply
    110,816x = 237,508 × 237,508
  4. Step 4: Simplify right side
    110,816x = 56,410,050,064
  5. Step 5: Solve for x
    x = 56,410,050,064/110,816
  6. Step 6: Final answer
    x = 509,042.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.