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Finding the Third Proportional to 193,595 and 293,310.75

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Solution

The third proportional to 193,595 and 293,310.75 is: 444,387.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,595 : 293,310.75 = 293,310.75 : x
  2. Step 2: Convert to fraction form
    193,595/293,310.75 = 293,310.75/x
  3. Step 3: Cross multiply
    193,595x = 293,310.75 × 293,310.75
  4. Step 4: Simplify right side
    193,595x = 86,031,196,065.56
  5. Step 5: Solve for x
    x = 86,031,196,065.56/193,595
  6. Step 6: Final answer
    x = 444,387.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.