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Finding the Third Proportional to 183,500.25 and 268,169.50

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Solution

The third proportional to 183,500.25 and 268,169.50 is: 391,906.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,500.25 : 268,169.50 = 268,169.50 : x
  2. Step 2: Convert to fraction form
    183,500.25/268,169.50 = 268,169.50/x
  3. Step 3: Cross multiply
    183,500.25x = 268,169.50 × 268,169.50
  4. Step 4: Simplify right side
    183,500.25x = 71,914,880,730.25
  5. Step 5: Solve for x
    x = 71,914,880,730.25/183,500.25
  6. Step 6: Final answer
    x = 391,906.17

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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.