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Finding the Third Proportional to 131,944 and 268,496

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Solution

The third proportional to 131,944 and 268,496 is: 546,368.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,944 : 268,496 = 268,496 : x
  2. Step 2: Convert to fraction form
    131,944/268,496 = 268,496/x
  3. Step 3: Cross multiply
    131,944x = 268,496 × 268,496
  4. Step 4: Simplify right side
    131,944x = 72,090,102,016
  5. Step 5: Solve for x
    x = 72,090,102,016/131,944
  6. Step 6: Final answer
    x = 546,368.93

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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.