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Finding the Third Proportional to 175,032 and 270,321.75

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Solution

The third proportional to 175,032 and 270,321.75 is: 417,488.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,032 : 270,321.75 = 270,321.75 : x
  2. Step 2: Convert to fraction form
    175,032/270,321.75 = 270,321.75/x
  3. Step 3: Cross multiply
    175,032x = 270,321.75 × 270,321.75
  4. Step 4: Simplify right side
    175,032x = 73,073,848,523.06
  5. Step 5: Solve for x
    x = 73,073,848,523.06/175,032
  6. Step 6: Final answer
    x = 417,488.51

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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.