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Finding the Third Proportional to 230,067 and 353,488.50

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Solution

The third proportional to 230,067 and 353,488.50 is: 543,120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,067 : 353,488.50 = 353,488.50 : x
  2. Step 2: Convert to fraction form
    230,067/353,488.50 = 353,488.50/x
  3. Step 3: Cross multiply
    230,067x = 353,488.50 × 353,488.50
  4. Step 4: Simplify right side
    230,067x = 124,954,119,632.25
  5. Step 5: Solve for x
    x = 124,954,119,632.25/230,067
  6. Step 6: Final answer
    x = 543,120.57

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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.