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Finding the Third Proportional to 127,958 and 270,680

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Solution

The third proportional to 127,958 and 270,680 is: 572,591.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,958 : 270,680 = 270,680 : x
  2. Step 2: Convert to fraction form
    127,958/270,680 = 270,680/x
  3. Step 3: Cross multiply
    127,958x = 270,680 × 270,680
  4. Step 4: Simplify right side
    127,958x = 73,267,662,400
  5. Step 5: Solve for x
    x = 73,267,662,400/127,958
  6. Step 6: Final answer
    x = 572,591.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.