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Finding the Third Proportional to 134,034.75 and 200,394

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Solution

The third proportional to 134,034.75 and 200,394 is: 299,607.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,034.75 : 200,394 = 200,394 : x
  2. Step 2: Convert to fraction form
    134,034.75/200,394 = 200,394/x
  3. Step 3: Cross multiply
    134,034.75x = 200,394 × 200,394
  4. Step 4: Simplify right side
    134,034.75x = 40,157,755,236
  5. Step 5: Solve for x
    x = 40,157,755,236/134,034.75
  6. Step 6: Final answer
    x = 299,607.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.