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Finding the Third Proportional to 183,231 and 268,281

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Solution

The third proportional to 183,231 and 268,281 is: 392,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,231 : 268,281 = 268,281 : x
  2. Step 2: Convert to fraction form
    183,231/268,281 = 268,281/x
  3. Step 3: Cross multiply
    183,231x = 268,281 × 268,281
  4. Step 4: Simplify right side
    183,231x = 71,974,694,961
  5. Step 5: Solve for x
    x = 71,974,694,961/183,231
  6. Step 6: Final answer
    x = 392,808.50

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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.