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Finding the Third Proportional to 73.50 and 176.25

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Solution

The third proportional to 73.50 and 176.25 is: 422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.50 : 176.25 = 176.25 : x
  2. Step 2: Convert to fraction form
    73.50/176.25 = 176.25/x
  3. Step 3: Cross multiply
    73.50x = 176.25 × 176.25
  4. Step 4: Simplify right side
    73.50x = 31,064.06
  5. Step 5: Solve for x
    x = 31,064.06/73.50
  6. Step 6: Final answer
    x = 422.64

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.