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Finding the Third Proportional to 175,067 and 270,364

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Solution

The third proportional to 175,067 and 270,364 is: 417,535.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,067 : 270,364 = 270,364 : x
  2. Step 2: Convert to fraction form
    175,067/270,364 = 270,364/x
  3. Step 3: Cross multiply
    175,067x = 270,364 × 270,364
  4. Step 4: Simplify right side
    175,067x = 73,096,692,496
  5. Step 5: Solve for x
    x = 73,096,692,496/175,067
  6. Step 6: Final answer
    x = 417,535.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.