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Finding the Third Proportional to 180.75 and 346.13

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Solution

The third proportional to 180.75 and 346.13 is: 662.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.75 : 346.13 = 346.13 : x
  2. Step 2: Convert to fraction form
    180.75/346.13 = 346.13/x
  3. Step 3: Cross multiply
    180.75x = 346.13 × 346.13
  4. Step 4: Simplify right side
    180.75x = 119,802.52
  5. Step 5: Solve for x
    x = 119,802.52/180.75
  6. Step 6: Final answer
    x = 662.81

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.