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Finding the Third Proportional to 176.48 and 365.20

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Solution

The third proportional to 176.48 and 365.20 is: 755.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.48 : 365.20 = 365.20 : x
  2. Step 2: Convert to fraction form
    176.48/365.20 = 365.20/x
  3. Step 3: Cross multiply
    176.48x = 365.20 × 365.20
  4. Step 4: Simplify right side
    176.48x = 133,373.32
  5. Step 5: Solve for x
    x = 133,373.32/176.48
  6. Step 6: Final answer
    x = 755.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.