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Finding the Third Proportional to 175,435.31 and 271,536.75

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Solution

The third proportional to 175,435.31 and 271,536.75 is: 420,281.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,435.31 : 271,536.75 = 271,536.75 : x
  2. Step 2: Convert to fraction form
    175,435.31/271,536.75 = 271,536.75/x
  3. Step 3: Cross multiply
    175,435.31x = 271,536.75 × 271,536.75
  4. Step 4: Simplify right side
    175,435.31x = 73,732,206,600.56
  5. Step 5: Solve for x
    x = 73,732,206,600.56/175,435.31
  6. Step 6: Final answer
    x = 420,281.44

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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.