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Finding the Third Proportional to 134,653 and 204,777

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Solution

The third proportional to 134,653 and 204,777 is: 311,419.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,653 : 204,777 = 204,777 : x
  2. Step 2: Convert to fraction form
    134,653/204,777 = 204,777/x
  3. Step 3: Cross multiply
    134,653x = 204,777 × 204,777
  4. Step 4: Simplify right side
    134,653x = 41,933,619,729
  5. Step 5: Solve for x
    x = 41,933,619,729/134,653
  6. Step 6: Final answer
    x = 311,419.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.