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Finding the Third Proportional to 129,848 and 194,250

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Solution

The third proportional to 129,848 and 194,250 is: 290,594.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,848 : 194,250 = 194,250 : x
  2. Step 2: Convert to fraction form
    129,848/194,250 = 194,250/x
  3. Step 3: Cross multiply
    129,848x = 194,250 × 194,250
  4. Step 4: Simplify right side
    129,848x = 37,733,062,500
  5. Step 5: Solve for x
    x = 37,733,062,500/129,848
  6. Step 6: Final answer
    x = 290,594.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.