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Finding the Third Proportional to 175,064.25 and 270,369.75

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Solution

The third proportional to 175,064.25 and 270,369.75 is: 417,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,064.25 : 270,369.75 = 270,369.75 : x
  2. Step 2: Convert to fraction form
    175,064.25/270,369.75 = 270,369.75/x
  3. Step 3: Cross multiply
    175,064.25x = 270,369.75 × 270,369.75
  4. Step 4: Simplify right side
    175,064.25x = 73,099,801,715.06
  5. Step 5: Solve for x
    x = 73,099,801,715.06/175,064.25
  6. Step 6: Final answer
    x = 417,559.85

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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.