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Finding the Third Proportional to 159.38 and 370.50

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Solution

The third proportional to 159.38 and 370.50 is: 861.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.38 : 370.50 = 370.50 : x
  2. Step 2: Convert to fraction form
    159.38/370.50 = 370.50/x
  3. Step 3: Cross multiply
    159.38x = 370.50 × 370.50
  4. Step 4: Simplify right side
    159.38x = 137,270.25
  5. Step 5: Solve for x
    x = 137,270.25/159.38
  6. Step 6: Final answer
    x = 861.30

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.