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Finding the Third Proportional to 127,734 and 274,424

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Solution

The third proportional to 127,734 and 274,424 is: 589,573.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,734 : 274,424 = 274,424 : x
  2. Step 2: Convert to fraction form
    127,734/274,424 = 274,424/x
  3. Step 3: Cross multiply
    127,734x = 274,424 × 274,424
  4. Step 4: Simplify right side
    127,734x = 75,308,531,776
  5. Step 5: Solve for x
    x = 75,308,531,776/127,734
  6. Step 6: Final answer
    x = 589,573.11

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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.