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Finding the Third Proportional to 113,194 and 235,692

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Solution

The third proportional to 113,194 and 235,692 is: 490,756.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,194 : 235,692 = 235,692 : x
  2. Step 2: Convert to fraction form
    113,194/235,692 = 235,692/x
  3. Step 3: Cross multiply
    113,194x = 235,692 × 235,692
  4. Step 4: Simplify right side
    113,194x = 55,550,718,864
  5. Step 5: Solve for x
    x = 55,550,718,864/113,194
  6. Step 6: Final answer
    x = 490,756.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.