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Finding the Third Proportional to 201,344.50 and 302,001

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Solution

The third proportional to 201,344.50 and 302,001 is: 452,977.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,344.50 : 302,001 = 302,001 : x
  2. Step 2: Convert to fraction form
    201,344.50/302,001 = 302,001/x
  3. Step 3: Cross multiply
    201,344.50x = 302,001 × 302,001
  4. Step 4: Simplify right side
    201,344.50x = 91,204,604,001
  5. Step 5: Solve for x
    x = 91,204,604,001/201,344.50
  6. Step 6: Final answer
    x = 452,977.88

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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.