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Finding the Third Proportional to 183,437 and 274,312

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Solution

The third proportional to 183,437 and 274,312 is: 410,206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,437 : 274,312 = 274,312 : x
  2. Step 2: Convert to fraction form
    183,437/274,312 = 274,312/x
  3. Step 3: Cross multiply
    183,437x = 274,312 × 274,312
  4. Step 4: Simplify right side
    183,437x = 75,247,073,344
  5. Step 5: Solve for x
    x = 75,247,073,344/183,437
  6. Step 6: Final answer
    x = 410,206.63

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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.