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Finding the Third Proportional to 110,458 and 236,396

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Solution

The third proportional to 110,458 and 236,396 is: 505,921.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,458 : 236,396 = 236,396 : x
  2. Step 2: Convert to fraction form
    110,458/236,396 = 236,396/x
  3. Step 3: Cross multiply
    110,458x = 236,396 × 236,396
  4. Step 4: Simplify right side
    110,458x = 55,883,068,816
  5. Step 5: Solve for x
    x = 55,883,068,816/110,458
  6. Step 6: Final answer
    x = 505,921.43

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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.