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Finding the Third Proportional to 183,881 and 278,573

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Solution

The third proportional to 183,881 and 278,573 is: 422,027.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,881 : 278,573 = 278,573 : x
  2. Step 2: Convert to fraction form
    183,881/278,573 = 278,573/x
  3. Step 3: Cross multiply
    183,881x = 278,573 × 278,573
  4. Step 4: Simplify right side
    183,881x = 77,602,916,329
  5. Step 5: Solve for x
    x = 77,602,916,329/183,881
  6. Step 6: Final answer
    x = 422,027.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.