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Finding the Third Proportional to 175,473 and 271,458

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Solution

The third proportional to 175,473 and 271,458 is: 419,947.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,473 : 271,458 = 271,458 : x
  2. Step 2: Convert to fraction form
    175,473/271,458 = 271,458/x
  3. Step 3: Cross multiply
    175,473x = 271,458 × 271,458
  4. Step 4: Simplify right side
    175,473x = 73,689,445,764
  5. Step 5: Solve for x
    x = 73,689,445,764/175,473
  6. Step 6: Final answer
    x = 419,947.49

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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.