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Finding the Third Proportional to 129,835.38 and 194,234.13

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Solution

The third proportional to 129,835.38 and 194,234.13 is: 290,574.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,835.38 : 194,234.13 = 194,234.13 : x
  2. Step 2: Convert to fraction form
    129,835.38/194,234.13 = 194,234.13/x
  3. Step 3: Cross multiply
    129,835.38x = 194,234.13 × 194,234.13
  4. Step 4: Simplify right side
    129,835.38x = 37,726,895,314.52
  5. Step 5: Solve for x
    x = 37,726,895,314.52/129,835.38
  6. Step 6: Final answer
    x = 290,574.86

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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.