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Finding the Third Proportional to 194,750 and 294,232

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Solution

The third proportional to 194,750 and 294,232 is: 444,531.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,750 : 294,232 = 294,232 : x
  2. Step 2: Convert to fraction form
    194,750/294,232 = 294,232/x
  3. Step 3: Cross multiply
    194,750x = 294,232 × 294,232
  4. Step 4: Simplify right side
    194,750x = 86,572,469,824
  5. Step 5: Solve for x
    x = 86,572,469,824/194,750
  6. Step 6: Final answer
    x = 444,531.30

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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.