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Finding the Third Proportional to 159 and 300.50

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Solution

The third proportional to 159 and 300.50 is: 567.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    159 : 300.50 = 300.50 : x
  2. Step 2: Convert to fraction form
    159/300.50 = 300.50/x
  3. Step 3: Cross multiply
    159x = 300.50 × 300.50
  4. Step 4: Simplify right side
    159x = 90,300.25
  5. Step 5: Solve for x
    x = 90,300.25/159
  6. Step 6: Final answer
    x = 567.93

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.