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Finding the Third Proportional to 224,966 and 316,399

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Solution

The third proportional to 224,966 and 316,399 is: 444,993.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,966 : 316,399 = 316,399 : x
  2. Step 2: Convert to fraction form
    224,966/316,399 = 316,399/x
  3. Step 3: Cross multiply
    224,966x = 316,399 × 316,399
  4. Step 4: Simplify right side
    224,966x = 100,108,327,201
  5. Step 5: Solve for x
    x = 100,108,327,201/224,966
  6. Step 6: Final answer
    x = 444,993.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.