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Finding the Third Proportional to 201,169.50 and 301,758

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Solution

The third proportional to 201,169.50 and 301,758 is: 452,642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,169.50 : 301,758 = 301,758 : x
  2. Step 2: Convert to fraction form
    201,169.50/301,758 = 301,758/x
  3. Step 3: Cross multiply
    201,169.50x = 301,758 × 301,758
  4. Step 4: Simplify right side
    201,169.50x = 91,057,890,564
  5. Step 5: Solve for x
    x = 91,057,890,564/201,169.50
  6. Step 6: Final answer
    x = 452,642.63

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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.