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Finding the Third Proportional to 183,276 and 268,353

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Solution

The third proportional to 183,276 and 268,353 is: 392,922.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,276 : 268,353 = 268,353 : x
  2. Step 2: Convert to fraction form
    183,276/268,353 = 268,353/x
  3. Step 3: Cross multiply
    183,276x = 268,353 × 268,353
  4. Step 4: Simplify right side
    183,276x = 72,013,332,609
  5. Step 5: Solve for x
    x = 72,013,332,609/183,276
  6. Step 6: Final answer
    x = 392,922.87

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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.