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Finding the Third Proportional to 194,828 and 294,348

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Solution

The third proportional to 194,828 and 294,348 is: 444,703.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,828 : 294,348 = 294,348 : x
  2. Step 2: Convert to fraction form
    194,828/294,348 = 294,348/x
  3. Step 3: Cross multiply
    194,828x = 294,348 × 294,348
  4. Step 4: Simplify right side
    194,828x = 86,640,745,104
  5. Step 5: Solve for x
    x = 86,640,745,104/194,828
  6. Step 6: Final answer
    x = 444,703.76

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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.