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Finding the Third Proportional to 157.50 and 324.75

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Solution

The third proportional to 157.50 and 324.75 is: 669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.50 : 324.75 = 324.75 : x
  2. Step 2: Convert to fraction form
    157.50/324.75 = 324.75/x
  3. Step 3: Cross multiply
    157.50x = 324.75 × 324.75
  4. Step 4: Simplify right side
    157.50x = 105,462.56
  5. Step 5: Solve for x
    x = 105,462.56/157.50
  6. Step 6: Final answer
    x = 669.60

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.