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Finding the Third Proportional to 183,438 and 274,314

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Solution

The third proportional to 183,438 and 274,314 is: 410,210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,438 : 274,314 = 274,314 : x
  2. Step 2: Convert to fraction form
    183,438/274,314 = 274,314/x
  3. Step 3: Cross multiply
    183,438x = 274,314 × 274,314
  4. Step 4: Simplify right side
    183,438x = 75,248,170,596
  5. Step 5: Solve for x
    x = 75,248,170,596/183,438
  6. Step 6: Final answer
    x = 410,210.37

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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.