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Finding the Third Proportional to 175.22 and 453.23

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Solution

The third proportional to 175.22 and 453.23 is: 1,172.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.22 : 453.23 = 453.23 : x
  2. Step 2: Convert to fraction form
    175.22/453.23 = 453.23/x
  3. Step 3: Cross multiply
    175.22x = 453.23 × 453.23
  4. Step 4: Simplify right side
    175.22x = 205,421.40
  5. Step 5: Solve for x
    x = 205,421.40/175.22
  6. Step 6: Final answer
    x = 1,172.37

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.