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Finding the Third Proportional to 183,109 and 274,482

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Solution

The third proportional to 183,109 and 274,482 is: 411,450.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,109 : 274,482 = 274,482 : x
  2. Step 2: Convert to fraction form
    183,109/274,482 = 274,482/x
  3. Step 3: Cross multiply
    183,109x = 274,482 × 274,482
  4. Step 4: Simplify right side
    183,109x = 75,340,368,324
  5. Step 5: Solve for x
    x = 75,340,368,324/183,109
  6. Step 6: Final answer
    x = 411,450.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.