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Finding the Third Proportional to 183,692 and 278,306

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Solution

The third proportional to 183,692 and 278,306 is: 421,652.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,692 : 278,306 = 278,306 : x
  2. Step 2: Convert to fraction form
    183,692/278,306 = 278,306/x
  3. Step 3: Cross multiply
    183,692x = 278,306 × 278,306
  4. Step 4: Simplify right side
    183,692x = 77,454,229,636
  5. Step 5: Solve for x
    x = 77,454,229,636/183,692
  6. Step 6: Final answer
    x = 421,652.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.