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Finding the Third Proportional to 164.85 and 360.07

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Solution

The third proportional to 164.85 and 360.07 is: 786.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.85 : 360.07 = 360.07 : x
  2. Step 2: Convert to fraction form
    164.85/360.07 = 360.07/x
  3. Step 3: Cross multiply
    164.85x = 360.07 × 360.07
  4. Step 4: Simplify right side
    164.85x = 129,650.63
  5. Step 5: Solve for x
    x = 129,650.63/164.85
  6. Step 6: Final answer
    x = 786.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.