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Finding the Third Proportional to 131,934 and 268,476

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Solution

The third proportional to 131,934 and 268,476 is: 546,328.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,934 : 268,476 = 268,476 : x
  2. Step 2: Convert to fraction form
    131,934/268,476 = 268,476/x
  3. Step 3: Cross multiply
    131,934x = 268,476 × 268,476
  4. Step 4: Simplify right side
    131,934x = 72,079,362,576
  5. Step 5: Solve for x
    x = 72,079,362,576/131,934
  6. Step 6: Final answer
    x = 546,328.94

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.