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Finding the Third Proportional to 193,478.63 and 293,144.06

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Solution

The third proportional to 193,478.63 and 293,144.06 is: 444,149.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,478.63 : 293,144.06 = 293,144.06 : x
  2. Step 2: Convert to fraction form
    193,478.63/293,144.06 = 293,144.06/x
  3. Step 3: Cross multiply
    193,478.63x = 293,144.06 × 293,144.06
  4. Step 4: Simplify right side
    193,478.63x = 85,933,441,379.00
  5. Step 5: Solve for x
    x = 85,933,441,379.00/193,478.63
  6. Step 6: Final answer
    x = 444,149.54

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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.