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Finding the Third Proportional to 134,853 and 194,250

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Solution

The third proportional to 134,853 and 194,250 is: 279,808.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,853 : 194,250 = 194,250 : x
  2. Step 2: Convert to fraction form
    134,853/194,250 = 194,250/x
  3. Step 3: Cross multiply
    134,853x = 194,250 × 194,250
  4. Step 4: Simplify right side
    134,853x = 37,733,062,500
  5. Step 5: Solve for x
    x = 37,733,062,500/134,853
  6. Step 6: Final answer
    x = 279,808.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.