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Finding the Third Proportional to 152,067 and 235,480.50

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Solution

The third proportional to 152,067 and 235,480.50 is: 364,648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,067 : 235,480.50 = 235,480.50 : x
  2. Step 2: Convert to fraction form
    152,067/235,480.50 = 235,480.50/x
  3. Step 3: Cross multiply
    152,067x = 235,480.50 × 235,480.50
  4. Step 4: Simplify right side
    152,067x = 55,451,065,880.25
  5. Step 5: Solve for x
    x = 55,451,065,880.25/152,067
  6. Step 6: Final answer
    x = 364,648.91

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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.