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Finding the Third Proportional to 127,008 and 274,266

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Solution

The third proportional to 127,008 and 274,266 is: 592,260.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,008 : 274,266 = 274,266 : x
  2. Step 2: Convert to fraction form
    127,008/274,266 = 274,266/x
  3. Step 3: Cross multiply
    127,008x = 274,266 × 274,266
  4. Step 4: Simplify right side
    127,008x = 75,221,838,756
  5. Step 5: Solve for x
    x = 75,221,838,756/127,008
  6. Step 6: Final answer
    x = 592,260.64

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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.