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Finding the Third Proportional to 183,278 and 268,356

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Solution

The third proportional to 183,278 and 268,356 is: 392,927.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,278 : 268,356 = 268,356 : x
  2. Step 2: Convert to fraction form
    183,278/268,356 = 268,356/x
  3. Step 3: Cross multiply
    183,278x = 268,356 × 268,356
  4. Step 4: Simplify right side
    183,278x = 72,014,942,736
  5. Step 5: Solve for x
    x = 72,014,942,736/183,278
  6. Step 6: Final answer
    x = 392,927.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.