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Finding the Third Proportional to 193,042 and 303,135

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Solution

The third proportional to 193,042 and 303,135 is: 476,014.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,042 : 303,135 = 303,135 : x
  2. Step 2: Convert to fraction form
    193,042/303,135 = 303,135/x
  3. Step 3: Cross multiply
    193,042x = 303,135 × 303,135
  4. Step 4: Simplify right side
    193,042x = 91,890,828,225
  5. Step 5: Solve for x
    x = 91,890,828,225/193,042
  6. Step 6: Final answer
    x = 476,014.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.