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Finding the Third Proportional to 110,708 and 237,208

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Solution

The third proportional to 110,708 and 237,208 is: 508,252.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,708 : 237,208 = 237,208 : x
  2. Step 2: Convert to fraction form
    110,708/237,208 = 237,208/x
  3. Step 3: Cross multiply
    110,708x = 237,208 × 237,208
  4. Step 4: Simplify right side
    110,708x = 56,267,635,264
  5. Step 5: Solve for x
    x = 56,267,635,264/110,708
  6. Step 6: Final answer
    x = 508,252.66

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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.