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Finding the Third Proportional to 175,322 and 271,191

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Solution

The third proportional to 175,322 and 271,191 is: 419,482.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,322 : 271,191 = 271,191 : x
  2. Step 2: Convert to fraction form
    175,322/271,191 = 271,191/x
  3. Step 3: Cross multiply
    175,322x = 271,191 × 271,191
  4. Step 4: Simplify right side
    175,322x = 73,544,558,481
  5. Step 5: Solve for x
    x = 73,544,558,481/175,322
  6. Step 6: Final answer
    x = 419,482.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.