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Finding the Third Proportional to 214,144 and 313,536

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Solution

The third proportional to 214,144 and 313,536 is: 459,059.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,144 : 313,536 = 313,536 : x
  2. Step 2: Convert to fraction form
    214,144/313,536 = 313,536/x
  3. Step 3: Cross multiply
    214,144x = 313,536 × 313,536
  4. Step 4: Simplify right side
    214,144x = 98,304,823,296
  5. Step 5: Solve for x
    x = 98,304,823,296/214,144
  6. Step 6: Final answer
    x = 459,059.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.