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Finding the Third Proportional to 183,482 and 271,821

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Solution

The third proportional to 183,482 and 271,821 is: 402,691.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,482 : 271,821 = 271,821 : x
  2. Step 2: Convert to fraction form
    183,482/271,821 = 271,821/x
  3. Step 3: Cross multiply
    183,482x = 271,821 × 271,821
  4. Step 4: Simplify right side
    183,482x = 73,886,656,041
  5. Step 5: Solve for x
    x = 73,886,656,041/183,482
  6. Step 6: Final answer
    x = 402,691.58

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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.