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Finding the Third Proportional to 127,260 and 268,452

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Solution

The third proportional to 127,260 and 268,452 is: 566,293.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,260 : 268,452 = 268,452 : x
  2. Step 2: Convert to fraction form
    127,260/268,452 = 268,452/x
  3. Step 3: Cross multiply
    127,260x = 268,452 × 268,452
  4. Step 4: Simplify right side
    127,260x = 72,066,476,304
  5. Step 5: Solve for x
    x = 72,066,476,304/127,260
  6. Step 6: Final answer
    x = 566,293.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.