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Finding the Third Proportional to 164.53 and 380.53

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Solution

The third proportional to 164.53 and 380.53 is: 880.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.53 : 380.53 = 380.53 : x
  2. Step 2: Convert to fraction form
    164.53/380.53 = 380.53/x
  3. Step 3: Cross multiply
    164.53x = 380.53 × 380.53
  4. Step 4: Simplify right side
    164.53x = 144,804.03
  5. Step 5: Solve for x
    x = 144,804.03/164.53
  6. Step 6: Final answer
    x = 880.10

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.