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Finding the Third Proportional to 112,926 and 223,017

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Solution

The third proportional to 112,926 and 223,017 is: 440,435.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,926 : 223,017 = 223,017 : x
  2. Step 2: Convert to fraction form
    112,926/223,017 = 223,017/x
  3. Step 3: Cross multiply
    112,926x = 223,017 × 223,017
  4. Step 4: Simplify right side
    112,926x = 49,736,582,289
  5. Step 5: Solve for x
    x = 49,736,582,289/112,926
  6. Step 6: Final answer
    x = 440,435.17

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.