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Finding the Third Proportional to 193,709.97 and 452,345.69

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Solution

The third proportional to 193,709.97 and 452,345.69 is: 1,056,304.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,709.97 : 452,345.69 = 452,345.69 : x
  2. Step 2: Convert to fraction form
    193,709.97/452,345.69 = 452,345.69/x
  3. Step 3: Cross multiply
    193,709.97x = 452,345.69 × 452,345.69
  4. Step 4: Simplify right side
    193,709.97x = 204,616,620,999.85
  5. Step 5: Solve for x
    x = 204,616,620,999.85/193,709.97
  6. Step 6: Final answer
    x = 1,056,304.03

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.