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Finding the Third Proportional to 193,036 and 293,489

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Solution

The third proportional to 193,036 and 293,489 is: 446,216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,036 : 293,489 = 293,489 : x
  2. Step 2: Convert to fraction form
    193,036/293,489 = 293,489/x
  3. Step 3: Cross multiply
    193,036x = 293,489 × 293,489
  4. Step 4: Simplify right side
    193,036x = 86,135,793,121
  5. Step 5: Solve for x
    x = 86,135,793,121/193,036
  6. Step 6: Final answer
    x = 446,216.21

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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.