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Finding the Third Proportional to 127,213 and 274,453

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Solution

The third proportional to 127,213 and 274,453 is: 592,112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,213 : 274,453 = 274,453 : x
  2. Step 2: Convert to fraction form
    127,213/274,453 = 274,453/x
  3. Step 3: Cross multiply
    127,213x = 274,453 × 274,453
  4. Step 4: Simplify right side
    127,213x = 75,324,449,209
  5. Step 5: Solve for x
    x = 75,324,449,209/127,213
  6. Step 6: Final answer
    x = 592,112.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.