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Finding the Third Proportional to 193,482 and 293,144.25

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Solution

The third proportional to 193,482 and 293,144.25 is: 444,142.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,482 : 293,144.25 = 293,144.25 : x
  2. Step 2: Convert to fraction form
    193,482/293,144.25 = 293,144.25/x
  3. Step 3: Cross multiply
    193,482x = 293,144.25 × 293,144.25
  4. Step 4: Simplify right side
    193,482x = 85,933,551,308.06
  5. Step 5: Solve for x
    x = 85,933,551,308.06/193,482
  6. Step 6: Final answer
    x = 444,142.36

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