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Finding the Third Proportional to 127,732 and 274,420

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Solution

The third proportional to 127,732 and 274,420 is: 589,565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,732 : 274,420 = 274,420 : x
  2. Step 2: Convert to fraction form
    127,732/274,420 = 274,420/x
  3. Step 3: Cross multiply
    127,732x = 274,420 × 274,420
  4. Step 4: Simplify right side
    127,732x = 75,306,336,400
  5. Step 5: Solve for x
    x = 75,306,336,400/127,732
  6. Step 6: Final answer
    x = 589,565.16

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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.