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Finding the Third Proportional to 194,304 and 292,848

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Solution

The third proportional to 194,304 and 292,848 is: 441,369.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,304 : 292,848 = 292,848 : x
  2. Step 2: Convert to fraction form
    194,304/292,848 = 292,848/x
  3. Step 3: Cross multiply
    194,304x = 292,848 × 292,848
  4. Step 4: Simplify right side
    194,304x = 85,759,951,104
  5. Step 5: Solve for x
    x = 85,759,951,104/194,304
  6. Step 6: Final answer
    x = 441,369.97

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Why These Related Problems?

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