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Finding the Third Proportional to 201,450 and 302,175

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Solution

The third proportional to 201,450 and 302,175 is: 453,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,450 : 302,175 = 302,175 : x
  2. Step 2: Convert to fraction form
    201,450/302,175 = 302,175/x
  3. Step 3: Cross multiply
    201,450x = 302,175 × 302,175
  4. Step 4: Simplify right side
    201,450x = 91,309,730,625
  5. Step 5: Solve for x
    x = 91,309,730,625/201,450
  6. Step 6: Final answer
    x = 453,262.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.