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Finding the Third Proportional to 234,014.50 and 384,394

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Solution

The third proportional to 234,014.50 and 384,394 is: 631,408.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,014.50 : 384,394 = 384,394 : x
  2. Step 2: Convert to fraction form
    234,014.50/384,394 = 384,394/x
  3. Step 3: Cross multiply
    234,014.50x = 384,394 × 384,394
  4. Step 4: Simplify right side
    234,014.50x = 147,758,747,236
  5. Step 5: Solve for x
    x = 147,758,747,236/234,014.50
  6. Step 6: Final answer
    x = 631,408.51

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.