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Finding the Third Proportional to 193,038 and 303,129

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Solution

The third proportional to 193,038 and 303,129 is: 476,005.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,038 : 303,129 = 303,129 : x
  2. Step 2: Convert to fraction form
    193,038/303,129 = 303,129/x
  3. Step 3: Cross multiply
    193,038x = 303,129 × 303,129
  4. Step 4: Simplify right side
    193,038x = 91,887,190,641
  5. Step 5: Solve for x
    x = 91,887,190,641/193,038
  6. Step 6: Final answer
    x = 476,005.71

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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.