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Finding the Third Proportional to 193,057.88 and 292,080.75

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Solution

The third proportional to 193,057.88 and 292,080.75 is: 441,894.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,057.88 : 292,080.75 = 292,080.75 : x
  2. Step 2: Convert to fraction form
    193,057.88/292,080.75 = 292,080.75/x
  3. Step 3: Cross multiply
    193,057.88x = 292,080.75 × 292,080.75
  4. Step 4: Simplify right side
    193,057.88x = 85,311,164,520.56
  5. Step 5: Solve for x
    x = 85,311,164,520.56/193,057.88
  6. Step 6: Final answer
    x = 441,894.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.