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Finding the Third Proportional to 127,289 and 274,252

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Solution

The third proportional to 127,289 and 274,252 is: 590,892.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,289 : 274,252 = 274,252 : x
  2. Step 2: Convert to fraction form
    127,289/274,252 = 274,252/x
  3. Step 3: Cross multiply
    127,289x = 274,252 × 274,252
  4. Step 4: Simplify right side
    127,289x = 75,214,159,504
  5. Step 5: Solve for x
    x = 75,214,159,504/127,289
  6. Step 6: Final answer
    x = 590,892.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.