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Finding the Third Proportional to 134,016 and 264,624

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Solution

The third proportional to 134,016 and 264,624 is: 522,518.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,016 : 264,624 = 264,624 : x
  2. Step 2: Convert to fraction form
    134,016/264,624 = 264,624/x
  3. Step 3: Cross multiply
    134,016x = 264,624 × 264,624
  4. Step 4: Simplify right side
    134,016x = 70,025,861,376
  5. Step 5: Solve for x
    x = 70,025,861,376/134,016
  6. Step 6: Final answer
    x = 522,518.66

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.