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Finding the Third Proportional to 73.50 and 153

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Solution

The third proportional to 73.50 and 153 is: 318.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.50 : 153 = 153 : x
  2. Step 2: Convert to fraction form
    73.50/153 = 153/x
  3. Step 3: Cross multiply
    73.50x = 153 × 153
  4. Step 4: Simplify right side
    73.50x = 23,409
  5. Step 5: Solve for x
    x = 23,409/73.50
  6. Step 6: Final answer
    x = 318.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.