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Finding the Third Proportional to 193,588 and 293,295

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Solution

The third proportional to 193,588 and 293,295 is: 444,355.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,588 : 293,295 = 293,295 : x
  2. Step 2: Convert to fraction form
    193,588/293,295 = 293,295/x
  3. Step 3: Cross multiply
    193,588x = 293,295 × 293,295
  4. Step 4: Simplify right side
    193,588x = 86,021,957,025
  5. Step 5: Solve for x
    x = 86,021,957,025/193,588
  6. Step 6: Final answer
    x = 444,355.83

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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.