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Finding the Third Proportional to 127,580 and 274,660

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Solution

The third proportional to 127,580 and 274,660 is: 591,300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,580 : 274,660 = 274,660 : x
  2. Step 2: Convert to fraction form
    127,580/274,660 = 274,660/x
  3. Step 3: Cross multiply
    127,580x = 274,660 × 274,660
  4. Step 4: Simplify right side
    127,580x = 75,438,115,600
  5. Step 5: Solve for x
    x = 75,438,115,600/127,580
  6. Step 6: Final answer
    x = 591,300.48

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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.