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Finding the Third Proportional to 131,265 and 268,062

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Solution

The third proportional to 131,265 and 268,062 is: 547,421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,265 : 268,062 = 268,062 : x
  2. Step 2: Convert to fraction form
    131,265/268,062 = 268,062/x
  3. Step 3: Cross multiply
    131,265x = 268,062 × 268,062
  4. Step 4: Simplify right side
    131,265x = 71,857,235,844
  5. Step 5: Solve for x
    x = 71,857,235,844/131,265
  6. Step 6: Final answer
    x = 547,421.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.