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Finding the Third Proportional to 112,162 and 234,708

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Solution

The third proportional to 112,162 and 234,708 is: 491,145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,162 : 234,708 = 234,708 : x
  2. Step 2: Convert to fraction form
    112,162/234,708 = 234,708/x
  3. Step 3: Cross multiply
    112,162x = 234,708 × 234,708
  4. Step 4: Simplify right side
    112,162x = 55,087,845,264
  5. Step 5: Solve for x
    x = 55,087,845,264/112,162
  6. Step 6: Final answer
    x = 491,145.35

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.