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Finding the Third Proportional to 127,683 and 274,320

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Solution

The third proportional to 127,683 and 274,320 is: 589,361.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,683 : 274,320 = 274,320 : x
  2. Step 2: Convert to fraction form
    127,683/274,320 = 274,320/x
  3. Step 3: Cross multiply
    127,683x = 274,320 × 274,320
  4. Step 4: Simplify right side
    127,683x = 75,251,462,400
  5. Step 5: Solve for x
    x = 75,251,462,400/127,683
  6. Step 6: Final answer
    x = 589,361.64

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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.