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Finding the Third Proportional to 193,533.75 and 293,217.75

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Solution

The third proportional to 193,533.75 and 293,217.75 is: 444,246.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,533.75 : 293,217.75 = 293,217.75 : x
  2. Step 2: Convert to fraction form
    193,533.75/293,217.75 = 293,217.75/x
  3. Step 3: Cross multiply
    193,533.75x = 293,217.75 × 293,217.75
  4. Step 4: Simplify right side
    193,533.75x = 85,976,648,915.06
  5. Step 5: Solve for x
    x = 85,976,648,915.06/193,533.75
  6. Step 6: Final answer
    x = 444,246.28

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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.