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Finding the Third Proportional to 194,763.75 and 293,427.75

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Solution

The third proportional to 194,763.75 and 293,427.75 is: 442,073.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,763.75 : 293,427.75 = 293,427.75 : x
  2. Step 2: Convert to fraction form
    194,763.75/293,427.75 = 293,427.75/x
  3. Step 3: Cross multiply
    194,763.75x = 293,427.75 × 293,427.75
  4. Step 4: Simplify right side
    194,763.75x = 86,099,844,470.06
  5. Step 5: Solve for x
    x = 86,099,844,470.06/194,763.75
  6. Step 6: Final answer
    x = 442,073.25

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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.