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Finding the Third Proportional to 134,474 and 289,695

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Solution

The third proportional to 134,474 and 289,695 is: 624,084.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,474 : 289,695 = 289,695 : x
  2. Step 2: Convert to fraction form
    134,474/289,695 = 289,695/x
  3. Step 3: Cross multiply
    134,474x = 289,695 × 289,695
  4. Step 4: Simplify right side
    134,474x = 83,923,193,025
  5. Step 5: Solve for x
    x = 83,923,193,025/134,474
  6. Step 6: Final answer
    x = 624,084.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.