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Finding the Third Proportional to 127,656 and 274,266

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Solution

The third proportional to 127,656 and 274,266 is: 589,254.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,656 : 274,266 = 274,266 : x
  2. Step 2: Convert to fraction form
    127,656/274,266 = 274,266/x
  3. Step 3: Cross multiply
    127,656x = 274,266 × 274,266
  4. Step 4: Simplify right side
    127,656x = 75,221,838,756
  5. Step 5: Solve for x
    x = 75,221,838,756/127,656
  6. Step 6: Final answer
    x = 589,254.24

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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.