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Finding the Third Proportional to 235,404 and 302,250

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Solution

The third proportional to 235,404 and 302,250 is: 388,077.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,404 : 302,250 = 302,250 : x
  2. Step 2: Convert to fraction form
    235,404/302,250 = 302,250/x
  3. Step 3: Cross multiply
    235,404x = 302,250 × 302,250
  4. Step 4: Simplify right side
    235,404x = 91,355,062,500
  5. Step 5: Solve for x
    x = 91,355,062,500/235,404
  6. Step 6: Final answer
    x = 388,077.78

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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.