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Finding the Third Proportional to 193,033.72 and 293,486.22

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Solution

The third proportional to 193,033.72 and 293,486.22 is: 446,213.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,033.72 : 293,486.22 = 293,486.22 : x
  2. Step 2: Convert to fraction form
    193,033.72/293,486.22 = 293,486.22/x
  3. Step 3: Cross multiply
    193,033.72x = 293,486.22 × 293,486.22
  4. Step 4: Simplify right side
    193,033.72x = 86,134,159,163.13
  5. Step 5: Solve for x
    x = 86,134,159,163.13/193,033.72
  6. Step 6: Final answer
    x = 446,213.02

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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.