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Finding the Third Proportional to 193,207.78 and 295,579.13

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Solution

The third proportional to 193,207.78 and 295,579.13 is: 452,192.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,207.78 : 295,579.13 = 295,579.13 : x
  2. Step 2: Convert to fraction form
    193,207.78/295,579.13 = 295,579.13/x
  3. Step 3: Cross multiply
    193,207.78x = 295,579.13 × 295,579.13
  4. Step 4: Simplify right side
    193,207.78x = 87,367,019,135.77
  5. Step 5: Solve for x
    x = 87,367,019,135.77/193,207.78
  6. Step 6: Final answer
    x = 452,192.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.