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Finding the Third Proportional to 164.63 and 361.88

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Solution

The third proportional to 164.63 and 361.88 is: 795.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.63 : 361.88 = 361.88 : x
  2. Step 2: Convert to fraction form
    164.63/361.88 = 361.88/x
  3. Step 3: Cross multiply
    164.63x = 361.88 × 361.88
  4. Step 4: Simplify right side
    164.63x = 130,953.52
  5. Step 5: Solve for x
    x = 130,953.52/164.63
  6. Step 6: Final answer
    x = 795.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.