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Finding the Third Proportional to 152 and 226.50

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Solution

The third proportional to 152 and 226.50 is: 337.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    152 : 226.50 = 226.50 : x
  2. Step 2: Convert to fraction form
    152/226.50 = 226.50/x
  3. Step 3: Cross multiply
    152x = 226.50 × 226.50
  4. Step 4: Simplify right side
    152x = 51,302.25
  5. Step 5: Solve for x
    x = 51,302.25/152
  6. Step 6: Final answer
    x = 337.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.