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Finding the Third Proportional to 114,077 and 235,381

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Solution

The third proportional to 114,077 and 235,381 is: 485,673.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,077 : 235,381 = 235,381 : x
  2. Step 2: Convert to fraction form
    114,077/235,381 = 235,381/x
  3. Step 3: Cross multiply
    114,077x = 235,381 × 235,381
  4. Step 4: Simplify right side
    114,077x = 55,404,215,161
  5. Step 5: Solve for x
    x = 55,404,215,161/114,077
  6. Step 6: Final answer
    x = 485,673.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.