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Finding the Third Proportional to 112,003 and 234,378

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Solution

The third proportional to 112,003 and 234,378 is: 490,460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,003 : 234,378 = 234,378 : x
  2. Step 2: Convert to fraction form
    112,003/234,378 = 234,378/x
  3. Step 3: Cross multiply
    112,003x = 234,378 × 234,378
  4. Step 4: Simplify right side
    112,003x = 54,933,046,884
  5. Step 5: Solve for x
    x = 54,933,046,884/112,003
  6. Step 6: Final answer
    x = 490,460.50

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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.