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Finding the Third Proportional to 155.99 and 370.93

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Solution

The third proportional to 155.99 and 370.93 is: 882.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.99 : 370.93 = 370.93 : x
  2. Step 2: Convert to fraction form
    155.99/370.93 = 370.93/x
  3. Step 3: Cross multiply
    155.99x = 370.93 × 370.93
  4. Step 4: Simplify right side
    155.99x = 137,591.73
  5. Step 5: Solve for x
    x = 137,591.73/155.99
  6. Step 6: Final answer
    x = 882.06

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.