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Finding the Third Proportional to 114,728 and 250,624

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Solution

The third proportional to 114,728 and 250,624 is: 547,489.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,728 : 250,624 = 250,624 : x
  2. Step 2: Convert to fraction form
    114,728/250,624 = 250,624/x
  3. Step 3: Cross multiply
    114,728x = 250,624 × 250,624
  4. Step 4: Simplify right side
    114,728x = 62,812,389,376
  5. Step 5: Solve for x
    x = 62,812,389,376/114,728
  6. Step 6: Final answer
    x = 547,489.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.