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Finding the Third Proportional to 183,520 and 271,869

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Solution

The third proportional to 183,520 and 271,869 is: 402,750.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,520 : 271,869 = 271,869 : x
  2. Step 2: Convert to fraction form
    183,520/271,869 = 271,869/x
  3. Step 3: Cross multiply
    183,520x = 271,869 × 271,869
  4. Step 4: Simplify right side
    183,520x = 73,912,753,161
  5. Step 5: Solve for x
    x = 73,912,753,161/183,520
  6. Step 6: Final answer
    x = 402,750.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.