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Finding the Third Proportional to 129,683 and 268,366

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Solution

The third proportional to 129,683 and 268,366 is: 555,356.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,683 : 268,366 = 268,366 : x
  2. Step 2: Convert to fraction form
    129,683/268,366 = 268,366/x
  3. Step 3: Cross multiply
    129,683x = 268,366 × 268,366
  4. Step 4: Simplify right side
    129,683x = 72,020,309,956
  5. Step 5: Solve for x
    x = 72,020,309,956/129,683
  6. Step 6: Final answer
    x = 555,356.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.