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Finding the Third Proportional to 194,931.75 and 293,838

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Solution

The third proportional to 194,931.75 and 293,838 is: 442,928.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,931.75 : 293,838 = 293,838 : x
  2. Step 2: Convert to fraction form
    194,931.75/293,838 = 293,838/x
  3. Step 3: Cross multiply
    194,931.75x = 293,838 × 293,838
  4. Step 4: Simplify right side
    194,931.75x = 86,340,770,244
  5. Step 5: Solve for x
    x = 86,340,770,244/194,931.75
  6. Step 6: Final answer
    x = 442,928.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.