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Finding the Third Proportional to 150.63 and 324.06

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Solution

The third proportional to 150.63 and 324.06 is: 697.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.63 : 324.06 = 324.06 : x
  2. Step 2: Convert to fraction form
    150.63/324.06 = 324.06/x
  3. Step 3: Cross multiply
    150.63x = 324.06 × 324.06
  4. Step 4: Simplify right side
    150.63x = 105,016.50
  5. Step 5: Solve for x
    x = 105,016.50/150.63
  6. Step 6: Final answer
    x = 697.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.