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Finding the Third Proportional to 235,447.50 and 302,323.50

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Solution

The third proportional to 235,447.50 and 302,323.50 is: 388,194.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,447.50 : 302,323.50 = 302,323.50 : x
  2. Step 2: Convert to fraction form
    235,447.50/302,323.50 = 302,323.50/x
  3. Step 3: Cross multiply
    235,447.50x = 302,323.50 × 302,323.50
  4. Step 4: Simplify right side
    235,447.50x = 91,399,498,652.25
  5. Step 5: Solve for x
    x = 91,399,498,652.25/235,447.50
  6. Step 6: Final answer
    x = 388,194.81

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.