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Finding the Third Proportional to 201,314 and 302,475

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Solution

The third proportional to 201,314 and 302,475 is: 454,469.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,314 : 302,475 = 302,475 : x
  2. Step 2: Convert to fraction form
    201,314/302,475 = 302,475/x
  3. Step 3: Cross multiply
    201,314x = 302,475 × 302,475
  4. Step 4: Simplify right side
    201,314x = 91,491,125,625
  5. Step 5: Solve for x
    x = 91,491,125,625/201,314
  6. Step 6: Final answer
    x = 454,469.76

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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.