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Finding the Third Proportional to 178,694 and 238,394

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Solution

The third proportional to 178,694 and 238,394 is: 318,039.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,694 : 238,394 = 238,394 : x
  2. Step 2: Convert to fraction form
    178,694/238,394 = 238,394/x
  3. Step 3: Cross multiply
    178,694x = 238,394 × 238,394
  4. Step 4: Simplify right side
    178,694x = 56,831,699,236
  5. Step 5: Solve for x
    x = 56,831,699,236/178,694
  6. Step 6: Final answer
    x = 318,039.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.